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maths
Simultaneous Equations
x + y = 32x - y = 6
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x = 0, y = 3
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x = 3, y = 0
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x = 1, y = 2
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x = 2, y = 1
4x - y = 32x + y =5
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x= 1, y =1
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x = 1, y = 2
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x = 4/3, y= 7/3
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x = 7/3, y = 4/3
6a - 3b = 44a - 3b = 8
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a = -2, b = -16/3
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a = -16/3, b = -2
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a = 1, b = 2/3
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a = 2, b = 0
4x - y = 34x - 3y = 7
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x = 2, y = 5/3
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x = 1, y = 1
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x = -2, y = 1/4
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x = 1/4, y = -2
A man is three times as old as his daughter. If the difference in their ages is 36 years, find the age of the father and daughter.
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20 and 56
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18 and 54
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22 and 58
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15 and 45
A theatre can hold 200 people. If the price of admission is $5 for an adult and $2 per child, find the number of each if the theatre is full and the profit is $577.
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59 adults and 141 children
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40 adults and 160 children
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60 adults and 140 children
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41 adults and 159 children
A man has 100 shares of stock A and 200 shares of stock B. The total value is $If he sells 50 shares of stock A and buys 60 shares of stock B the value is now $Find the price of each share.
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A = $2, B = $1
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A = $1, B = $2
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A = $1.20, B = $1.80
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A = $1.80, B = $1.20
Rectangle A is 3 times longer than rectangle B and twice as wide. If the perimeter of A is 50cm and the perimeter of B is 20cm, find the length and width of A.
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15 and 20
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5 and 15
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15 and 10
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5 and 10
A rectangle has a perimeter of 40cm. If the length is reduced by 5cm and 5cm is added to the width, it becomes a square. Find the dimensions of the rectangle.
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20 and 10
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10 and 5
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15 and 10
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15 and 5
Solve the simultaneous equations (there are two separate solutions):y = x2 + 7x - 2y = 2x - 6
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x = 4, y = 2; x = 3, y = 5
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x = -4, y = 2; x = -1, y = -8
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x = -2, y = -10; x = 3, y = 0
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x = 1, y = -4; x = 0; y = -6
Solve:3x - y = 11x + y = 5
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x = 4y = 1
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x = 4y = -1
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x = -4y = 1
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x = -4y = -1
Solve:3x + 5y = 44x - 5y = -18
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x = -2y = 2
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x = -2y = -2
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x = 2y = -2
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x = 2y = 2
Solve:2x + 3y = 5x + 3y = 7
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x = -2y = 3
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x = -2y = -3
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x = 2y = 3
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x = 2y = -3
What is the solution?
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No solution
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(0, 2)
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(0, -4)
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(3, -3)
Find the simultaneous solution
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(6, 8)
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(8, 6)
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(-6, 8)
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No solution
Solve for x and y2x − 3y = −1 y = x − 1
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(-2,-3)
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(0,-1)
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(3,4)
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(4,3)
How many solutions are there for the graphs of y=x² and y=x+2
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Zero Solution
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Three Solutions
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Two Solutions
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One Solution
A fruit seller sells apples at $2 each and oranges at $4 each. On Monday, his sold a total of 57 fruits and earned a revenue of $Find out the total number of apples sold on Monday.
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35
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15
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22
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43
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which system represents this situation?
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x+y=134x+y=120
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3x+3y=1344x+3y=120
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4x+3y=1343x+3y=120
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7xy=1346xy=120
Select the correct graph for each inequality.
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A
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B
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C
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D
Select the correct graph for each inequality.
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A
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B
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C
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D
Select the correct graph for each inequality.
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A
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B
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C
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D
Select the correct graph for each inequality.
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A
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B
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C
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D
Which point below is NOT part of the solution set?
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(0, 0)
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(-10, 20)
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(3, 5)
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(0, -2)
How can I tell if an inequality will have a solid line?
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It has an equal sign.
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The symbol is greater than.
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The symbol has "or equal to."
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You just guess.
Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.
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Yes because it is located in the shaded region.
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No because it is located on the line and the line is dotted.
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Yes because it is located on the line.
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No because it is in the shaded region.
What is the solution?
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(6, 3)
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(3, 6)
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(-6, 3)
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No solution
A man is six times as old as his son. Twenty years later he will be twice as old as his son. Find the age of the man when his son was born.
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25
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5
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30
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35
Solve:2x + 5y = 29x + 5y = 22
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x = 7y = 3
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x = -7y = -3
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x = 7y = -3
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x = -7y = 3
Solve 3x+y=13x+y=13x+y=1 x−2y=19x-2y=19x−2y=19
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x=−4, y=3x=-4,\ y=3x=−4, y=3
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x=3, y=−4x=3,\ y=-4x=3, y=−4
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x=3, y=−8x=3,\ y=-8x=3, y=−8
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x=4, y=8x=4,\ y=8x=4, y=8
Solve by substitution: y=−3x+5y=-3x+5y=−3x+5 5x−4y=−35x-4y=-35x−4y=−3
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(1, 2)
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(1, 1)
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(2, 1)
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(2, 2)
Solve by substitution: 2x−3y=−12x-3y=-12x−3y=−1 y=x−1y=x-1y=x−1
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(3, 4)
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(4, 3)
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(4, 4)
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(3, 3)
How many solutions are there for the graphs of y=x² and y=x+2
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Zero Solution
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Three Solutions
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Two Solutions
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One Solution
Solve by elimination: −6x+6y=6-6x+6y=6−6x+6y=6 −6x+3y=−12-6x+3y=-12−6x+3y=−12
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(-5, 6)
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(5, -6)
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(-5, -6)
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(5, 6)
Solve by elimination: −2x−9y=−25-2x-9y=-25−2x−9y=−25 −4x−9y=−23-4x-9y=-23−4x−9y=−23
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(-1, -1)
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(-1, 3)
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(3, -3)
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(-3, 3)
Solve by elimination: 5x+y=95x+y=95x+y=9 10x−7y=−1810x-7y=-1810x−7y=−18
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(4, 1)
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(-1, 4)
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(1, 4)
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(4, -1)
Solve by elimination: −4x+9y=9-4x+9y=9−4x+9y=9 x−3y=−6x-3y=-6x−3y=−6
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(9, 5)
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(-9, 5)
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(9, -5)
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(-9, -5)
What is the solution to the system of equations?
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(5, 2)
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(2, 5)
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(-5, 2)
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(-2, -5)
What is the solution to the system of equations?
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(3, -2)
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(3, 2)
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(2, 3)
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(2, -3)
What is the solution to the system of equations?
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(-5, -2)
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(2, -5)
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(2, 5)
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(-5, 2)
What is the solution to the system of equations?
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(2, 3)
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(-3, 2)
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(2, -3)
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(3, 2)
What is the solution to the system of equations?
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(-3, 4)
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(3, 4)
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(-4, 3)
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(4, 3)
Solve:3x - 4y = 262x - 4y = 20
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x = 6y = -2
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x = -6y = -2
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x = -6y = 2
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x = 6y = 2
Solve:2x + y = 164x - y = 2
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x = 3y = 10
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x = -3y = -10
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x = -3y = 10
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x = 3y = -10
Solve:4x - y = 177x - y = 32
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x = 5y = 3
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x = -5y = 3
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x = 5y = -3
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x = -5y = -3
Solve:3x + 2y = 157x + 2y = 19
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x = 1y = 6
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x = -1y = 6
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x = 1y = -6
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x = -1y = -6
Solve for (x,y)-2x + 6y = 16-4x - 3y = 2
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(2,2)
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(-2, -2)
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(-2,2)
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(2,1)
Solve for (x,y)5x + y = 9 10x − 7y = −18
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(-4,-1)
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(-1,-4)
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(4,1)
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(1, 4)
Some horses and chickens are in a pasture. If there are a total of 28 animals and 80 legs, how many chickens and how many horses are there? (Hint: Write simultaneous equations and then solve)
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10 horses, 18 chickens
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16 horses, 12 chickens
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12 horses, 16 chickens
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18 horses, 10 chickens
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which simultaneous equations represent this situation?
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x+y=134x+y=120
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3x+3y=1344x+3y=120
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4x+3y=1343x+3y=120
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7xy=1346xy=120
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