Solve the system of linear equations. Check your answer. Write your answer as an ordered pair with no spaces.
x+y=5
2x-y=7
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.