Question

Solve this system of linear equations. Separate

the x- and y-values with a comma.
-2x + 3y = 11
3x + 2y = -23

Answer 1

x = -7, y = -1

Explanation:

Solve the following system:

{3 y - 2 x = 11 | (equation 1)

2 y + 3 x = -23 | (equation 2)

Swap equation 1 with equation 2:

{3 x + 2 y = -23 | (equation 1)

-(2 x) + 3 y = 11 | (equation 2)

Add 2/3 × (equation 1) to equation 2:

{3 x + 2 y = -23 | (equation 1)

0 x+(13 y)/3 = -13/3 | (equation 2)

Multiply equation 2 by 3/13:

{3 x + 2 y = -23 | (equation 1)

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

Subtract 2 × (equation 2) from equation 1:

{3 x+0 y = -21 | (equation 1)

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

Divide equation 1 by 3:

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

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

Collect results:

Answer: x = -7, y = -1