SOLUTION: solve system of equations using the addition method 3a+2b=7 5a-3b=-1 (?,?)

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Question 212893: solve system of equations using the addition method
3a+2b=7
5a-3b=-1
(?,?)
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
solve system of equations using the addition method
3a+2b=7
5a-3b=-1
(?,?)


The following steps solves the linear system using Substitition

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++3%5Ca+%2B+2%5Cb+=+7%2C%0D%0A++++5%5Ca+%2B+-3%5Cb+=+-1+%29%0D%0A++We'll use substitution. After moving 2*b to the right, we get:
3%2Aa+=+7+-+2%2Ab, or a+=+7%2F3+-+2%2Ab%2F3. Substitute that
into another equation:
5%2A%287%2F3+-+2%2Ab%2F3%29+%2B+-3%5Cb+=+-1 and simplify: So, we know that b=2. Since a+=+7%2F3+-+2%2Ab%2F3, a=1.

Answer: system%28+a=1%2C+b=2+%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