Question

Solve by elimination method:a) 3x-2y=0 and x-2y= -4

Answer 1

2x=4 x=2

Explanation:

3x-x=2x

-2y-(-2y)=0

0-(-4)=4

2x=4

x=2

If x=2,3(2)-2y=0

Answer 2

x = 2, y = 3

Explanation:

Solve the following system:

{-2 y + 3 x = 0 | (equation 1)

{-2 y + x = -4 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 x - 2 y = 0 | (equation 1)

{0 x - (4 y)/3 = -4 | (equation 2)

Multiply equation 2 by -3/4:

{3 x - 2 y = 0 | (equation 1)

{0 x + y = 3 | (equation 2)

Add 2 × (equation 2) to equation 1:

{3 x + 0 y = 6 | (equation 1)

{0 x + y = 3 | (equation 2)

Divide equation 1 by 3:

{x + 0 y = 2 | (equation 1)

0 x + y = 3 | (equation 2)

Collect results:

Answer: {x = 2, y = 3