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CBSE Questions for Class 10 Maths Pair Of Linear Equations In Two Variables Quiz 9 - MCQExams.com

Solve graphically the pair of equations x+3y=6, and 3x5y=18. Hence, find the value of K if 7x+3y=K
  • x=3,y=1,K=13
  • x=8,y=5,K=8
  • x=1,y=2,K=29
  • x=6,y=0,K=42
If 2x+y=23 and 4xy=19, find the values of 5y2x and yx2.
  • 36,13
  • 31,57
  • 38,67
  • None of these
Determine by drawing graphs whether the following pair of equations has a unique solution or not: 2x3y=6,4x6y=9. If yes, find the solution also
  • No
  • Yes, x=3, y=2
  • Ambiguous
  • Data insufficient
Find the value of k for which the given system of equations has infinite number of solutions.
5x+2y=2k and 2(k+1)x+ky=(3k+4)
  • 4
  • 7
  • 3
  • 6
Solve:

\frac {4}{9}x+\frac {1}{3}y=1, 5x+2y=13
  • x=3, y=-5
  • x=3, y=-6
  • x=3, y=-1
  • x=1, y=0
Determine how many solution exist for the following pair of equations 8x +5y = 9, 16x +10y = 27 
  • Both equations form coincident line hence they have no solutions.
  • Both equations form parallel lines hence they have no solutions.
  • Both equations form intersecting lines hence they have no solutions.
  • None of these
Determine whether the system of linear equations 2x + 3y - 5 = 0, 6x + 9y - 15 = 0 has a unique solution, no solutions, or an infinite number of solutions.
  • Infinite number of solutions
  • No solutions
  • Unique solution
  • Cannot be determined
Solve the following equations by the substitution method
\dfrac {1}{2}(9x+10y)=23, \dfrac {5x}{4}-2y=3
  • x = 4, y =1
  • x = 2, y =5
  • x = 1, y =-1
  • x = 7, y =-3
Solve the following equations by the substitution method
0.04 x + 0.02y = 5, 0.5x - 0.4y = 30
  • x=27, y=61
  • x=100, y=50
  • x=200, y=39
  • x=54, y=122
Solve the following equations by the substitution method
x = 3y - 19, y = 3x - 23
  • x = 5, y = 7
  • x = 11, y = 10
  • x = 13, y = 7
  • x = 3, y = 11
Solve the following pairs of linear equations by elimination method:
78x + 91y = 39 and 65x + 117y = 42
  • x = \dfrac{3}{13}, y = \dfrac{3}{13}
  • x = \dfrac{1}{11}, y = \dfrac{2}{11}
  • x = \dfrac{5}{17}, y = \dfrac{4}{17}
  • Cannot be determined
Solve the following pair of linear equations by elimination method
\dfrac {x}{2}+\dfrac {2y}{3}=-1 and x-\dfrac {y}{3}=3
  • x = 1, y =7
  • x = 2, y =- 3
  • x = 3, y =- 3
  • x = 5, y =-7
Solve graphically the following pair of equations: x -y = 1, 2x + y= 8. Shade the area bounded by these lines and the y-axis
  • x = 1, y = -1
  • x = 2, y = 0
  • x = 4, y = -1
  • x = 3, y = 2
Solve the following pair of equations graphically : x + y = 4, 3x - 2y =- 3
Shade the region bounded by the lines representing the above equations and x-axis
  • x = 3, y = 2
  • x = 1, y = 3
  • x = 8, y = 2
  • x = 9, y = 2
Solve the following equations by the substitution method
11x-8y=27, 3x+5y=-7
  • x=0, y=1
  • x=0, y=-5
  • x=2, y=3
  • x=1, y=-2
Solve the following equations by the substitution method
\dfrac {x+11}{7}+2y=10, 3x=8+\dfrac {y+7}{11}
  • x = 1, y = -2
  • x = 8, y = -7
  • x = 9, y = 2
  • x = 3, y = 4
Find the values of x and y in the following rectangle

232459_49c832435b924d68a2a8ab878cc7fb19.png
  • x=7, y=-8
  • x=1, y=-5
  • x=2, y=0
  • x=1, y=4
Based on equations reducible to linear equations, Solve for x and y: 6x + 5y = 8xy and 8x + 3y = 7xy
  • x = 2, y = 2
  • x = 1, y = 2
  • x = 3, y = 8
  • x = 5, y = 7
Based on equations reducible to linear equations
Solve for x and y: 9 + 25xy = 53x and 27 - 4xy = x
  • x = 1, y = 4
  • x = 2, y = 7
  • x = 6, y = 2
  • x = 3, y = 2
Based on equations reducible to linear equations
Solve for x and y: \dfrac {11}{2x}-\dfrac {9}{2y}=-\dfrac {23}{2}; \dfrac {3}{4x}+\dfrac {7}{15y}=\dfrac {23}{6}
  • x = 1/2, y = 1/5
  • x = 1/5, y = 1/9
  • x = 1/7, y = 1/2
  • x = 1/3, y = 1/4
Based on equations reducible to linear equations
Solve for x and y \dfrac {2}{x}+\dfrac {3}{y}=2; \dfrac {1}{x}-\dfrac {1}{2y}=\dfrac {1}{3}
  • x = 0, y = 1
  • x = 0, y = -7
  • x = 2, y = 3
  • x = 2, y = 7
On the same axes, draw the graph of each of the following equations: 2y-x = 8, 5y-x = 14, y- 2x = 1. Hence, obtain the vertices of the triangle so formed.
  • (1, 2), (-1, 2), (1, 6)
  • (2, 5), (-4, 2), (1, 3)
  • (-2, 2), (5, -7), (2, 9)
  • (1, -3), (2, -3), (2, -7)
Solve graphically the pair of linear equations: 4x - 3y + 4 = 0, 4x + 3y - 20 = 0. Find the area of the region bounded by these lines and x-axis
  • 12 sq. units
  • 18 sq. units
  • 9 sq. units
  • 13 sq. units
Based on equations reducible to linear equations
Solve for x and y: \dfrac {2}{x-1}+\dfrac {y-2}{4}=2; \dfrac {3}{2(x-1)}+\dfrac {2(y-2)}{5}=\dfrac {47}{20}
  • x = 3, y = 6
  • x = 1, y = 5
  • x = 2, y = -7
  • x = 5, y = -9
Based on equations reducible to linear equations, solve for x and y:
\dfrac {x-y}{xy}=9; \dfrac {x+y}{xy}=5
  • x = -\dfrac12, y = \dfrac17
  • x = -\dfrac15, y = \dfrac12
  • x = -\dfrac15, y = \dfrac17
  • None of these
Based on equations reducible to linear equations
Solve for x and y \dfrac {1}{3x}-\dfrac {1}{7y}=\dfrac {2}{3}; \dfrac {1}{2x}-\dfrac {1}{3y}=\dfrac {1}{6}
  • x = 1/8, y = 1/2
  • x = 1/3, y = 1/6
  • x = 1/7, y = 1/8
  • x = 1/5, y = 1/7
4 tables and 3 chairs together cost Rs. 2250 and 3 tables and 4 chairs cost Rs. 1950. Find the cost of 2 chairs and 1 table.
  • Rs. 150
  • Rs. 750
  • Rs. 350
  • Rs. 850
A man has only 20 paise coins and 25 paise coins in his purse. If he has 50 coins in all totaling Rs. 11.25, how many coins of each kind does he have?
  • 25 coins of each kind
  • 16 coins of each kind
  • 44 coins of each kind
  • 32 coins of each kind
The sum of two numbers is 8. If their sum is 4 times their difference. Find the numbers.
  • 4, 4
  • 6, 2
  • 5, 3
  • None of these
The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2 : 3. Determine the fraction
  • \dfrac {1}{7}
  • \dfrac {2}{5}
  • \dfrac {3}{7}
  • \dfrac {5}{9}
0:0:1


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