Answer
(-5.6, -4.1)
Work Step by Step
Multiply the first equation by 5 and the second equation by 2:
5(5x - 2y) = 5(-19.8)
2(-3x + 5y) = 2(-3.7)
25x - 10y = -99
-6x + 10y = -7.4
Add:
19x = -106.4
Solve for x:
x = -5.6
Let x = -5.6 in the first equation to find y:
5(-5.6) - 2y = -19.8
-28 - 2y = -19.8
-2y = 8.2
y = -4.1
Check the solution (-5.6, -4.1) in the second equation:
-3(-5.6) + 5(-4.1) = -3.7
-3.7 = -3.7; True