2x + 6y = 386

4x + 4y=292

x = 13, y = 60

Step-by-step explanation:

Solve the following system:

{2 x + 6 y = 386 | (equation 1)

4 x + 4 y = 292 | (equation 2)

Swap equation 1 with equation 2:

{4 x + 4 y = 292 | (equation 1)

2 x + 6 y = 386 | (equation 2)

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

{4 x + 4 y = 292 | (equation 1)

0 x+4 y = 240 | (equation 2)

Divide equation 1 by 4:

{x + y = 73 | (equation 1)

0 x+4 y = 240 | (equation 2)

Divide equation 2 by 4:

{x + y = 73 | (equation 1)

0 x+y = 60 | (equation 2)

Subtract equation 2 from equation 1:

{x+0 y = 13 | (equation 1)

0 x+y = 60 | (equation 2)

Collect results:

Answer: {x = 13, y = 60