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Solve the system of equations by adding. Check your answer.
6x + 5y = -39
6x + 7y = 75
The solution of the system is ( , ).​

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Answer:

Step-by-step explanation:

This one is easy, because the coefficient of x is the same in both equations. You can eliminate the x terms by subtracting one equation from the other.

Multiply the first equation by -1:

-6x - 5y = 39

Add it to the second equation:

-6x  - 5y = 39

 6x + 7y = 75

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

0x + 2y = 114,   so y = 57

Then substitute 57 for y in one of the equations and solve for x:

6x + 7(57) = 75

x = -54

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