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# Is the ordered pair (x, y) = (−9, 2) a solution to the given system of equations? 2x+5y=−8 x−y=−11 Yes or No? # Is the ordered pair (x, y) = (−9, 2) a solution to the given system of equations? 2x+5y=−8 x−y=−11 Yes or No?

Question
Equations asked 2020-12-05
Is the ordered pair
(x, y) = (−9, 2)
a solution to the given system of equations?
2x+5y=−8
x−y=−11
Yes or No?

## Answers (1) 2020-12-06
Step 1
Consider the following system of equations:
2x+5y=−8...(1)
x−y=−11...(2)
Multiply equation (2) by 2:
2x−2y=−22...(3)
Subtract equation (1) from equation (2):
7y=14
y=2
Substitute y in the equation (2):
x-2=-11
x=-9
Solution of the simultaneous equation is (−9,2).
Step 2
Hence, the answer is Yes.

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