SOLUTION: solve by the substitution method. 7x + 9y = 32 -6x + y = 51 the solution is ___? (type an ordered pair) Thank you

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Question 220927: solve by the substitution method.
7x + 9y = 32
-6x + y = 51
the solution is ___? (type an ordered pair)

Thank you
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
solve by the substitution method.
7x + 9y = 32
-6x + y = 51

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++7%5Cx+%2B+9%5Cy+=+32%2C%0D%0A++++-6%5Cx+%2B+1%5Cy+=+51+%29%0D%0A++We'll use substitution. After moving 9*y to the right, we get:
7%2Ax+=+32+-+9%2Ay, or x+=+32%2F7+-+9%2Ay%2F7. Substitute that
into another equation:
-6%2A%2832%2F7+-+9%2Ay%2F7%29+%2B+1%5Cy+=+51 and simplify: So, we know that y=9. Since x+=+32%2F7+-+9%2Ay%2F7, x=-7.

Answer: system%28+x=-7%2C+y=9+%29.



SOLUTION: The ordered pair is (-7,9)

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J