Solution of Linear Equation in Two Variables

How many solutions does a Linear equation in two variable would have?

• Only one

• Two solutions

• Five solutions

• Infinity

Find the value of a, if x=1, y=2 is a solution of 4x+8y=a

• a=0

• a=9

• a=16

• a=20

Find the solutions of x + 2y = 6

• (2,2)

• (0,3)

• (5,4)

• (4,1)

• (3,2)

Which of these equation proves that x=5, y=18?

• 3x-y=2

• y-x=0

• 3y-5x=29

• 2x-5y=18

Solve for y:
2x + 2y = 6

• y = - x + 3

• y = x + 3

• y = 2x +6

• y = - 2x + 6

5x - y = 16

• -y = 5x + 16

• y = 5x + 16

• x = 5y - 16

• y = 5x - 16

-16x=2y-10

• 8x+y=5

• -16x-2y=10

• 16x+2y=-10

• 8x-y=-5

-2x+20=-5y 

• 2x+5y=20

• 2x-5y=20

• 20=2x-5y 

• -2x+5y=-20

Identify the option having two correct solutions for the equation 5x + 4y = 20

• (2,1) and (3,2)

• (1, 4) and (3,1)

• (0, 5) and (4, 0)

• (4, 3) and (3, 0)

Answer explanation

5x + 4y = 20 On taking (x = 0, y = 5), L.H.S = 5(0) + 4(5) = 20 = R.H.S On taking (x = 4, y = 0), L.H.S = 5(4) + 4(0) = 20 = R.H.S Therefore, (0, 5) and (4, 0) are two solutions of the given linear equation in two variables.

Which of the following is equivalent to 4x - 3y = 15?