4x+2y=10

X-y=13

Write in (x, y)

(x = 6, y = - 7)

Step-by-step explanation:

Solve the following system:

{4 x + 2 y = 10 | (equation 1)

x - y = 13 | (equation 2)

Subtract 1/4 * (equation 1) from equation 2:

{4 x + 2 y = 10 | (equation 1)

0 x - (3 y) / 2 = 21/2 | (equation 2)

Divide equation 1 by 2:

{2 x + y = 5 | (equation 1)

0 x - (3 y) / 2 = 21/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 5 | (equation 1)

0 x - y = 7 | (equation 2)

Multiply equation 2 by - 1:

{2 x + y = 5 | (equation 1)

0 x+y = - 7 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 12 | (equation 1)

0 x+y = - 7 | (equation 2)

Divide equation 1 by 2:

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

0 x+y = - 7 | (equation 2)

Collect results:

Answer: {x = 6, y = - 7