Question

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X-2y=2
2x+4y=36

Answer 1

Rearrange first equation
2y = x-2
X= 2y + 2
Plug in values
2(2y+2)+ 4y= 36
4y+ 4 +4y=36
8y+4= 36
8y=32
Y=4
Solved for y, now plug in to find x.
2y=x-2
2(4)= x -2
8= x-2
X= 10

Answer 2

x = 10 , y = 4

Explanation:

Solve the following system:

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

2 x + 4 y = 36 | (equation 2)

Swap equation 1 with equation 2:

{2 x + 4 y = 36 | (equation 1)

x - 2 y = 2 | (equation 2)

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

{2 x + 4 y = 36 | (equation 1)

0 x - 4 y = -16 | (equation 2)

Divide equation 1 by 2:

{x + 2 y = 18 | (equation 1)

0 x - 4 y = -16 | (equation 2)

Divide equation 2 by -4:

{x + 2 y = 18 | (equation 1)

0 x+y = 4 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{x+0 y = 10 | (equation 1)

0 x+y = 4 | (equation 2)

Collect results:

Answer: {x = 10 , y = 4