Answer
(-3, 2)
Work Step by Step
Solve for x in terms of y in one of the equations:
x + 2y = 1
x = 1 - 2y
Insert the equation for x in terms of y in the second equation:
3(1 - 2y) + 4y = -1
3 - 6y + 4y = -1
3 - 2y = -1
4 = 2y
2 = y
Let y = 2 in the first equation to solve for x:
x + 2(2) = 1
x = -3
Check the solution (-3, 2) in the second equation:
3(-3) + 4(2) = -1
-9 + 8 = -1
-1 = -1; True