2x - 3y = - 1

y = x - 1

Solve for both x and y using elimination.

Solve the following system using elimination:

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

{y = x - 1 | (equation 2)

Express the system in standard form:

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

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

Add 1/2 * (equation 1) to equation 2:

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

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

Multiply equation 2 by - 2:

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

{0 x+y = 3 | (equation 2)

Add 3 * (equation 2) to equation 1:

{2 x+0 y = 8 | (equation 1)

{0 x+y = 3 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 4 | (equation 1)

{0 x+y = 3 | (equation 2)

Collect results:

Answer: {x = 4, y = 3