SOLUTION: solve by the substitution method. 9x - 4y = -44 7x + 49 = y The solution is ___? (type an ordered pair) Thank you very much :)

Algebra ->  Equations -> SOLUTION: solve by the substitution method. 9x - 4y = -44 7x + 49 = y The solution is ___? (type an ordered pair) Thank you very much :)      Log On


   

Question 220926: solve by the substitution method.
9x - 4y = -44
7x + 49 = y
The solution is ___? (type an ordered pair)

Thank you very much :)
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
solve by the substitution method.
9x - 4y = -44
7x + 49 = y

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++9%5Cx+%2B+-4%5Cy+=+-44%2C%0D%0A++++7%5Cx+%2B+-1%5Cy+=+-49+%29%0D%0A++We'll use substitution. After moving -4*y to the right, we get:
9%2Ax+=+-44+-+-4%2Ay, or x+=+-44%2F9+-+-4%2Ay%2F9. Substitute that
into another equation:
7%2A%28-44%2F9+-+-4%2Ay%2F9%29+%2B+-1%5Cy+=+-49 and simplify: So, we know that y=-7. Since x+=+-44%2F9+-+-4%2Ay%2F9, x=-8.

Answer: system%28+x=-8%2C+y=-7+%29.




SOLUTION: The ordered pair is (-8,-7)

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J