#### Answer

(-8.9, 10.6)

#### Work Step by Step

Multiply both sides of the first equation by 4 and the second equation by 3:
4(2x + 3y) = 4(14)
3(3x - 4y) = 3(-69.1)
8x + 12y = 56
9x - 12y = -207.3
Add:
17x = -151.3
x = -8.9
Let x = -8.9 in the first equation to find y:
2(-8.9) + 3y = 14
-17.8 + 3y = 14
3y = 31.8
y = 10.6
Check the solution (-8.9, 31.8) in the second equation:
3(-8.9) - 4(10.6) = -69.1
-69.1 = -69.1; True