Answer:
x = -7, y = -3 yup you did it right!
Explanation:
Solve the following system:
{-2 y + x = -1 | (equation 1)
8 y - 5 x = 11 | (equation 2)
Swap equation 1 with equation 2:
{-(5 x) + 8 y = 11 | (equation 1)
x - 2 y = -1 | (equation 2)
Add 1/5 × (equation 1) to equation 2:
{-(5 x) + 8 y = 11 | (equation 1)
0 x - (2 y)/5 = 6/5 | (equation 2)
Multiply equation 2 by 5/2:
{-(5 x) + 8 y = 11 | (equation 1)
0 x - y = 3 | (equation 2)
Multiply equation 2 by -1:
{-(5 x) + 8 y = 11 | (equation 1)
0 x + y = -3 | (equation 2)
Subtract 8 × (equation 2) from equation 1:
{-(5 x) + 0 y = 35 | (equation 1)
0 x + y = -3 | (equation 2)
Divide equation 1 by -5:
{x + 0 y = -7 | (equation 1)
0 x + y = -3 | (equation 2)
Collect results:
Answer: {x = -7, y = -3