Answer
(1, 2)
Work Step by Step
1. Multiply the first equation by 2 and multiply the second equation by 5:
2(4x + 5y) = 2(14)
5(3x - 2y) = 5(-1)
8x + 10y = 28
15x - 10y = -5
2. Add and solve for x:
23x = 23
x = 1
3. Let x = 1 in the first equation to find y:
4(1) + 5y = 14
4 + 5y = 14
5y = 10
y = 2
4. Check the solution (1, 2) in the second equation:
3(1) - 2(2) = -1
3 - 4 = -1
-1 = -1; True
