Solve

2x-3y=-4

5x+7y=1

x = - 25/29, y = 22/29

Step-by-step explanation:

Solve the following system:

{2 x - 3 y = - 4 | (equation 1)

5 x + 7 y = 1 | (equation 2)

Swap equation 1 with equation 2:

{5 x + 7 y = 1 | (equation 1)

2 x - 3 y = - 4 | (equation 2)

Subtract 2/5 * (equation 1) from equation 2:

{5 x + 7 y = 1 | (equation 1)

0 x - (29 y) / 5 = (-22) / 5 | (equation 2)

Multiply equation 2 by - 5:

{5 x + 7 y = 1 | (equation 1)

0 x+29 y = 22 | (equation 2)

Divide equation 2 by 29:

{5 x + 7 y = 1 | (equation 1)

0 x+y = 22/29 | (equation 2)

Subtract 7 * (equation 2) from equation 1:

{5 x+0 y = (-125) / 29 | (equation 1)

0 x+y = 22/29 | (equation 2)

Divide equation 1 by 5:

{x+0 y = (-25) / 29 | (equation 1)

0 x+y = 22/29 | (equation 2)

Collect results:

Answer: {x = - 25/29, y = 22/29