Answer:
(1, 3)
Step-by-step explanation:
Solve the following system:
{y - x = 2 | (equation 1)
{x + y = 4 | (equation 2)
Add equation 1 to equation 2:
{-x + y = 2 | (equation 1)
{0 x+2 y = 6 | (equation 2)
Divide equation 2 by 2:
{-x + y = 2 | (equation 1)
{0 x+y = 3 | (equation 2)
Subtract equation 2 from equation 1:
{-x+0 y = -1 | (equation 1)
{0 x+y = 3 | (equation 2)
Multiply equation 1 by -1:
{x+0 y = 1 | (equation 1)
{0 x+y = 3 | (equation 2)
Collect results:
Answer: x = 1, y = 3
