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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.

  1. 10x+9y=−171 10x + 9y = -171
  2. x−2y=16 x - 2y = 16
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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.

This problem has been solved

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