Answer:
x = -3
, y = 2
Step-by-step explanation:
Solve the following system:
{y - 2 x = 8 | (equation 1)
{-3 x - y = 7 | (equation 2)
Swap equation 1 with equation 2:
{-(3 x) - y = 7 | (equation 1)
{-(2 x) + y = 8 | (equation 2)
Subtract 2/3 × (equation 1) from equation 2:
{-(3 x) - y = 7 | (equation 1)
{0 x+(5 y)/3 = 10/3 | (equation 2)
Multiply equation 2 by 3/5:
{-(3 x) - y = 7 | (equation 1)
{0 x+y = 2 | (equation 2)
Add equation 2 to equation 1:
{-(3 x)+0 y = 9 | (equation 1)
{0 x+y = 2 | (equation 2)
Divide equation 1 by -3:
{x+0 y = -3 | (equation 1)
{0 x+y = 2 | (equation 2)
Collect results:
Answer: {x = -3
, y = 2
