Answer:
x = -24; y = -55
Explanation:
Step 1: Multiply the first equation by -1:
Multiplying the first equation by -1 will allow to to eliminate the xs since -10x - 10x = 0:
-1(10x - 4y = -20)
-10x + 4y = 20
Step 2: Add -10x + 4y = 20 and 10x - 5y = 35 to eliminate the xs and solve for y:
Solving for y:
-10x + 4y = 20
+
10x - 5y = 35
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(-10x + 10x) + (4y - 5y) = (20 + 35)
(-y = 55) / -1
y = -55
Thus, y = -55.
Step 3: Solve for x by plugging in -55 for y in the first equation (10x - 4y = -20):
Solving for x:
10x - 4(-55) = -20
(10x + 220 = -20) - 220
(10x = -240) / 10
x = -24
Thus, x = -24.