Find the solution of the system of equations.10, x, plus, 9, y, equals, minus, 1710x+9y=−1710, x, minus, 2, y, equals, 1610x−2y=16
Question
Find the solution of the system of equations.10, x, plus, 9, y, equals, minus, 1710x+9y=−1710, x, minus, 2, y, equals, 1610x−2y=16
Solution
To solve the system of equations:
10x + 9y = -171 10x - 2y = 16
We can use the method of substitution or elimination. Here, I'll use the elimination method.
First, we can subtract the second equation from the first to eliminate x:
(10x + 9y) - (10x - 2y) = -171 - 16 This simplifies to: 11y = -187
Then, solve for y by dividing both sides by 11:
y = -187 / 11 y = -17
Substitute y = -17 into the second equation:
10x - 2(-17) = 16 10x + 34 = 16 10x = 16 - 34 10x = -18
Then, solve for x by dividing both sides by 10:
x = -18 / 10 x = -1.8
So, the solution to the system of equations is x = -1.8 and y = -17.
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