CBSE Questions for Class 10 Maths Pair Of Linear Equations In Two Variables Quiz 13 - MCQExams.com

Solve the following equations using substitution method:
$$2x+3y=13$$  and $$4x+5y=23$$
  • (-2, 3)
  • (2, 3)
  • (2, -3)
  • (-2, -3)
Solve the equation using substitution method:
$$4x-6y=-4$$  and  $$8x-2y=48$$
  • 5.6 and 7.4
  • -7.4 and 5.6
  • 7.4 and 5.6
  • 8.6 and 5.6
Solve the equations using graphical method: $$x-  y = 3$$ and $$x + y = 11$$
  • $$(7, 4)$$
  • $$(-7, 3)$$
  • $$(7, -4)$$
  • $$(-7, 4)$$
Solve the equation using elimination method:
$$\displaystyle \frac{3}{x}+\frac{2}{y} = 7$$ and $$\displaystyle \frac{4}{x} -\frac{1}{y}=2$$
  • $$\left (1, \dfrac{1}{2}\right)$$
  • $$\left (-1, \dfrac{1}{2}\right)$$
  • $$\left (1, \dfrac{-1}{2}\right)$$
  • $$\left (-1, \dfrac{-1}{2}\right)$$
Solve the equations using graphical method: $$x + y = 7$$ and $$2x - 3y = 9$$
  • $$(6, -1)$$
  • $$(-6, 1)$$
  • $$(6, 1)$$
  • $$(-6, -1)$$
Solve the equation using substitution method:
$$x+y=-3$$ and $$x+2y=4$$
  • -10 and 7
  • 10 and 7
  • 10 and -7
  • -10 and -7
Find the value x and y using substitution method:
$$2x-5y=9$$   and  $$5x+6y=8$$
  • $$94$$ and $$199$$
  • $$\cfrac{94}{43}$$ and $$\cfrac{199}{215}$$
  • $$\cfrac{-94}{43}$$ and $$\cfrac{199}{215}$$
  • $$\cfrac{-94}{43}$$ and $$\cfrac{-199}{215}$$
Solve the equations using graphical method: $$x + y = 3$$ and $$-3x + 2y = 1$$
  • $$(1, -2)$$
  • $$(-1, 2)$$
  • $$(1, 2)$$
  • $$(-1, -2)$$
Find the value of x and y using graphical method: $$8x -y = 6$$ and $$6x - y = 4$$
  • $$(1, 2)$$
  • $$(-1, -2)$$
  • $$(-1, 2)$$
  • $$(1, -2)$$
Solve the equations graphically: $$2x-  y = -8$$ and $$x + 2y = -14$$
  • $$(6, 4)$$
  • $$(-6, -4)$$
  • $$(-6, 4)$$
  • $$(6, -4)$$
Solve the equations: $$5x -2 y = 6$$ and $$2x + 5y = 3$$ and then identify the system of equations.
  • Consistent
  • Inconsistent
  • Dependent
  • All the above
Solve the equations: $$5x + 8y = 9$$ and $$2x + 3y = 4$$ using graphical method.
  • (5, -2)
  • (-5, 2)
  • (5, 2)
  • (-5, -2)
Solve the equations: $$x -5y = 15$$ and $$2x + 5y = 0$$ using graphical method.
  • (5, 2)
  • (-5, 2)
  • (5, -2)
  • (-5, -2)
Using graphical method check whether the given equation is consistent:
$$3x-  y = 4$$ and $$7x + 2y = 18$$
  • $$(2, 2)$$
  • $$(-2, -2)$$
  • $$(-2, 2)$$
  • $$(2, -2)$$
Solve the equations: $$x-  y = -1$$ and $$2y + 3x = 12$$ using graphical method.
  • $$(1, -2)$$
  • $$(2, 3)$$
  • $$(3, 3)$$
  • $$(-1, -2)$$
Solve the equations: $$2x + 2y = 4$$ and $$-2x + 3y = 1$$ using graphical method.
  • (1, 1)
  • (-1, 1)
  • (1, -1)
  • (-1, -1)
Solve the equations: $$x-  y = -5$$ and $$x + y = 1$$ using graphical method
  • (-2, -3)
  • (-2, 3)
  • (3, 2)
  • (-3, -2)
Solve the equations graphically: $$7x + 8y = 64$$ and $$x + 4y = 12$$
  • $$(8, 1)$$
  • $$(-8, -1)$$
  • $$(-8, 1)$$
  • $$(8, -1)$$
Using graphical method check whether the given equation is consistent: $$2x + 5y = 13$$ and $$x + 6y = 10$$
  • $$(4, 1)$$
  • $$(-4, -1)$$
  • $$(-4, 1)$$
  • $$(4, -1)$$
Check whether the system of equation is inconsistent: 
$$4x + y = 23$$ and $$8x + 2y = 10$$
  • inconsistent
  • consistent
  • dependent
  • non-linear
Using graphical method check whether the given equation is consistent: $$2x + 3y = 8$$ and $$3x + 6y = 15$$
  • $$(2, 1)$$
  • $$(-5, -1)$$
  • $$(-2, 1)$$
  • $$(2, -1)$$
Solve the following pair of equations by reducing them to a pair of linear equations:
$$\dfrac{2x-3y}{xy}=4$$ and $$\dfrac{15x+3y}{xy}=30$$
  • $$x=-1, y=0$$
  • $$x=1, y=\propto $$
  • $$x=0, y=2$$
  • $$x=\propto , y=\frac{1}{2}$$
Using graphical method check whether the given equation is consistent: $$6x + 7y = 49$$ and $$3x + 7y = 28$$
  • $$(7, 1)$$
  • $$(-7, -1)$$
  • $$(-7, 1)$$
  • $$(7, -1)$$
Solve the following pairs of equations by reducing them to a pair of linear equations.
$$\displaystyle \frac{3}{x+1}-\frac{1}{y+1}=2$$ and $$\dfrac{6}{x+1}-\dfrac{1}{y+1}=5$$
  • (1, 1)
  • (0, 1)
  • (1, 0)
  • (0, 0)
Which option of linear equation is inconsistent?
  • $$x + y = 1$$,
    $$2x + y = 0$$
  • $$x - y = 2$$, 
    $$2x - 2y = 1$$
  • $$2x - 3y=0$$, 
    $$2y + x = 1$$
  • $$2x - 4y = 19$$, 
    $$-2x + y = 0$$
The equation $$-4x - 4y = 2$$ and $$-2x - 2y = 1$$ have _________.
  • 2 solutions
  • unique solution
  • no solutions
  • infinitely many solutions
Solve the following pairs of linear equations by elimination method
$$3x+4y=25$$
$$5x-6y=-9$$
  • $$x=3$$ and $$y=3$$
  • $$x=4$$ and $$y=4$$
  • $$x=3$$ and $$y=4$$
  • None of these
Two lines are represented by the equations $$2x-y=1$$ and $$x+2y=2$$. Represent this situation graphically and check if the system has....
  • No solution
  • Unique Solution
  • Infinite Solutions
  • None of the these
The equations $$4x - y = 1$$ and $$2x - 2y = 2$$ are __________.
  • Non-linear
  • Inconsistent
  • Consistent
  • Dependent
The sum of unit place and tens place digits of a two digit number is $$12$$. If the new number formed by reversing those digits is less than the original number by $$18$$. Find the original number.
  • $$70$$
  • $$75$$
  • $$80$$
  • $$85$$
0:0:1


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