What is the elimination method for 3x-2y=7 x+y=-1

x = - 3/17, y = 4/17

Step-by-step explanation:

Solve the following system:

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

{7 x + y = - 1 | (equation 2)

Swap equation 1 with equation 2:

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

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

Subtract 3/7 * (equation 1) from equation 2:

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

{0 x - (17 y) / 7 = - 4/7 | (equation 2)

Multiply equation 2 by - 7:

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

{0 x+17 y = 4 | (equation 2)

Divide equation 2 by 17:

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

{0 x+y = 4/17 | (equation 2)

Subtract equation 2 from equation 1:

{7 x+0 y = - 21/17 | (equation 1)

{0 x+y = 4/17 | (equation 2)

Divide equation 1 by 7:

{x+0 y = - 3/17 | (equation 1)

{0 x+y = 4/17 | (equation 2)

Collect results:

Answer: {x = - 3/17, y = 4/17