Answer:
x = 2
, y = -6
Step-by-step explanation by elimination:
Solve the following system:
{2 x + y = -2 | (equation 1)
5 x + 3 y = -8 | (equation 2)
Swap equation 1 with equation 2:
{5 x + 3 y = -8 | (equation 1)
2 x + y = -2 | (equation 2)
Subtract 2/5 × (equation 1) from equation 2:
{5 x + 3 y = -8 | (equation 1)
0 x - y/5 = 6/5 | (equation 2)
Multiply equation 2 by 5:
{5 x + 3 y = -8 | (equation 1)
0 x - y = 6 | (equation 2)
Multiply equation 2 by -1:
{5 x + 3 y = -8 | (equation 1)
0 x+y = -6 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{5 x+0 y = 10 | (equation 1)
0 x+y = -6 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 2 | (equation 1)
0 x+y = -6 | (equation 2)
Collect results:
Answer: {x = 2
, y = -6
