Solve the system of linear equations. Check your answer. Write your answer as an ordered pair with no spaces.

Question

x+y=5
2x-y=7

Answer 1

Adding the two equations together, we have:

x + y + 2x - y = 5 + 7
3x = 12
x = 4

Substitute x = 4 into the first equation:

4 + y = 5
y = 1

The solution to the system of linear equations is (4, 1).

Checking the answer:
x + y = 4 + 1 = 5 (satisfied)
2x - y = 2(4) - 1 = 8 - 1 = 7 (satisfied)

Therefore, the solution (4, 1) is correct.