Answer x = 7 and y = -7
Step-by-step explanation:
1. Multiply the first equation by 8 to eliminate y:
8(0.1x + 0.5y) = 8(-2.8)
0.8x + 4y = -22.4
2. Now, subtract the second equation from this new equation:
(0.8x + 4y) - (0.8x - 0.4y) = -22.4 - 8.4
4.4y = -30.8
3. Solve for y:
y = -30.8 / 4.4
y = -7
4. Substitute the value of y back into one of the original equations. Let's use the first equation:
0.1x + 0.5(-7) = -2.8
0.1x - 3.5 = -2.8
0.1x = -2.8 + 3.5
0.1x = 0.7
x = 0.7 / 0.1
x = 7
