-3x - 4y = 5
- 2x + 3y = -8

x = 1  ,y = -2

Step-by-step explanation:

Solve the following system:

{-4 y - 3 x = 5 | (equation 1)

3 y - 2 x = -8 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{-(3 x) - 4 y = 5 | (equation 1)

0 x+(17 y)/3 = -34/3 | (equation 2)

Multiply equation 2 by 3/17:

{-(3 x) - 4 y = 5 | (equation 1)

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

Add 4 × (equation 2) to equation 1:

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

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

Divide equation 1 by -3:

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

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

Collect results:

{x = 1  ,y = -2

:

step-by-step explanation: