SOLUTION: 6x+2y=8 -3x+y=20 8x+3y=34 -5x+y=27

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Question 214731: 6x+2y=8
-3x+y=20
8x+3y=34
-5x+y=27

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Using SUBSTITUTION, the following will solve the system of equations given as

6x%2B2y=8
-3x%2By=20

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++6%5Cx+%2B+2%5Cy+=+8%2C%0D%0A++++-3%5Cx+%2B+1%5Cy+=+20+%29%0D%0A++We'll use substitution. After moving 2*y to the right, we get:
6%2Ax+=+8+-+2%2Ay, or x+=+8%2F6+-+2%2Ay%2F6. Substitute that
into another equation:
-3%2A%288%2F6+-+2%2Ay%2F6%29+%2B+1%5Cy+=+20 and simplify: So, we know that y=12. Since x+=+8%2F6+-+2%2Ay%2F6, x=-2.66666666666667.

Answer: system%28+x=-2.66666666666667%2C+y=12+%29.



Using SUBSTITUTION, the following will solve the system of equations given as

8x+3y=34
-5x+y=27

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++8%5Cx+%2B+3%5Cy+=+34%2C%0D%0A++++-5%5Cx+%2B+1%5Cy+=+27+%29%0D%0A++We'll use substitution. After moving 3*y to the right, we get:
8%2Ax+=+34+-+3%2Ay, or x+=+34%2F8+-+3%2Ay%2F8. Substitute that
into another equation:
-5%2A%2834%2F8+-+3%2Ay%2F8%29+%2B+1%5Cy+=+27 and simplify: So, we know that y=16.7826086956522. Since x+=+34%2F8+-+3%2Ay%2F8, x=-2.04347826086958.

Answer: system%28+x=-2.04347826086958%2C+y=16.7826086956522+%29.



I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J