Solve the Linear Equations in Two Variables

Solve the equation 2y + 3x = 12 for y in terms of x.

• y = (12 + 3x) / 2

• y = (12 - 2x) / 3

• y = (12 - x) / 6

• y = (12 - 3x) / 2

Convert the equation 3y - 2x = 6 into slope-intercept form.

• y = (2/3)x + 2

• y = (3/2)x - 6

• y = (2/3)x - 6

• y = (3/2)x + 6

What is the slope of the equation y = -3x + 4?

• 2

• -3

• 0

• -4

Determine the y-intercept of the equation 4y = 8x - 16.

• -4

• -2

• 2

• 0

Solve for y:
2x + 2y = 6

• y = - x + 3

• y = x + 3

• y = 2x +6

• y = - 2x + 6

-4=-x+2y 

•  x-2y=4

• x-2y=-4 

• 4=x-2y 

• x+2y=4 

5x - y = 16

• -y = 5x + 16

• y = 5x + 16

• x = 5y - 16

• y = 5x - 16

Rewrite the equation in STANDARD form.

-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.