What is the solution of the system of equations?
{53x−2y=−2
{−x+y=2
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( , )

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:

x = 2/51  , y = 104/51

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step-by-step explanation: