Answer
(-0.75, 1.25)
Work Step by Step
Write the first equation as a solution for x:
0.08x - 0.04y = -0.11
0.08x = 0.04y - 0.11
x = 0.5y - 1.375
Insert the equation for x in terms of y in the second equation:
0.02(0.5y - 1.375) - 0.06y = -0.09
0.01y - 0.0275 - 0.06y = -0.09
-0.05y = -0.0625
y = 1.25
Let y = 1.25 in the first equation to find x:
0.08x - 0.04(1.25) = -0.11
0.08x - 0.05 = -0.11
0.08x = -0.06
x = -0.75
Check the solution (-0.75, 1.25) in the second equation:
0.02(-0.75) - 0.06(1.25) = -0.09
-0.09 = -0.09; True