What is the solution of the system of equations?

{53x-2y=-2

{-x+y=2

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Just took the test the answer is - 6,-4

x = 2/51, y = 104/51

Step-by-step explanation:

Solve the following system:

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

y - x = 2 | (equation 2)

Add 1/53 * (equation 1) to equation 2:

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

0 x + (51 y) / 53 = 104/53 | (equation 2)

Multiply equation 2 by 53:

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

0 x+51 y = 104 | (equation 2)

Divide equation 2 by 51:

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

0 x+y = 104/51 | (equation 2)

Add 2 * (equation 2) to equation 1:

{53 x+0 y = 106/51 | (equation 1)

0 x+y = 104/51 | (equation 2)

Divide equation 1 by 53:

{x+0 y = 2/51 | (equation 1)

0 x+y = 104/51 | (equation 2)

Collect results:

Answer: x = 2/51, y = 104/51