#### Answer

(0.5, 3.5)

#### Work Step by Step

Write the first equation as a solution for x:
0.2x - 0.3y = -0.95
0.2x = 0.3y - 0.95
x = 1.5y - 4.75
Insert the equation for x in terms of y in the second equation:
0.4(1.5y - 4.75) + 0.1y = 0.55
0.6y - 1.9 + 0.1y = 0.55
0.7y - 1.9 = 0.55
0.7y = 2.45
y = 3.5
Let y = 3.5 in the first equation to find x:
0.2x - 0.3(3.5) = -0.95
0.2x - 1.05 = -0.95
0.2x = 0.1
x = 0.5
Check the solution (0.5, 3.5) in the second equation:
0.4(0.5) + 0.1(3.5) = 0.55
0.55 = 0.55; True