SOLUTION: solve by the elimination method. What is the solution of the system? Simplify your answer. 6x - 9y=7.5 7y - 2x = -4.5

Algebra ->  Functions -> SOLUTION: solve by the elimination method. What is the solution of the system? Simplify your answer. 6x - 9y=7.5 7y - 2x = -4.5       Log On


   

Question 212877: solve by the elimination method. What is the solution of the system? Simplify your answer.
6x - 9y=7.5
7y - 2x = -4.5
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by the elimination method. What is the solution of the system? Simplify your answer.
6x+-+9y=7.5
7y+-+2x+=+-4.5

The following solves the system equations by substitution.

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++6%5Cx+%2B+-9%5Cy+=+7.5%2C%0D%0A++++-2%5Cx+%2B+7%5Cy+=+-4.5+%29%0D%0A++We'll use substitution. After moving -9*y to the right, we get:
6%2Ax+=+7.5+-+-9%2Ay, or x+=+7.5%2F6+-+-9%2Ay%2F6. Substitute that
into another equation:
-2%2A%287.5%2F6+-+-9%2Ay%2F6%29+%2B+7%5Cy+=+-4.5 and simplify: So, we know that y=-0.5. Since x+=+7.5%2F6+-+-9%2Ay%2F6, x=0.5.

Answer: system%28+x=0.5%2C+y=-0.5+%29.



I hope the above steps were helpful.

For Step-By-Step free videos in Introduction to Algebra, please visit
http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit
http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J