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5 votes
X+y=-9
5×-2y=32
solve using systems of equations ​

User Soronthar
by
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2 Answers

2 votes

Answer:

(-22/7, -41/7)

Explanation:

Please use ( × ) to indicate multiplication and use ( x ) to denote a variable name.

Write out the second equation here:

5x - 2y = 32

Now, we'll apply the "elimination by addition and subtraction" method.

Multiply all three terms of x + y = -9 by -5, obtaining:

-5x - 5y = 9

and then combine this result with the second equation:

5x - 2y = 32

-5x - 5y = 9

-------------------

-7y = 41

Dividing both sides by -7 yields y = -41/7, which is an improper fraction.

I'd suggest you double check to ensure that y ou have copied down this problem correctly.

If we proceed and try to find the value of x, substitute -41/7 for y in

x + y = -9

obtaining:

x - 41/7 = -9, or

x - 41/7 = -63/7

Combining the constants, we get:

x = -22/7

and so the solution is

(-22/7, -41/7)

User Dois
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