Solve using elimination.

-4x + 3y = - 1

-4x + 5y = - 7

x = - 2, y = - 3

Step-by-step explanation:

Solve the following system:

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

5 y - 4 x = - 7 | (equation 2)

Subtract equation 1 from equation 2:

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

0 x+2 y = - 6 | (equation 2)

Divide equation 2 by 2:

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

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

Subtract 3 * (equation 2) from equation 1:

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

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

Divide equation 1 by - 4:

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

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

Collect results:

Answer: {x = - 2, y = - 3