SOLUTION: How Do I solve This? Use the substitution method to solve the linear system given. Express the answer as an ordered pair of the form (x,y) x + y = 5 2x + y = 6

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Question 221186: How Do I solve This?
Use the substitution method to solve the linear system given. Express
the answer as an ordered pair of the form (x,y)
x + y = 5
2x + y = 6
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
How Do I solve This?

Use the substitution method to solve the linear system given. Express the answer as an ordered pair of the form (x,y)

x + y = 5
2x + y = 6

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+5%2C%0D%0A++++2%5Cx+%2B+1%5Cy+=+6+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
1%2Ax+=+5+-+1%2Ay, or x+=+5%2F1+-+1%2Ay%2F1. Substitute that
into another equation:
2%2A%285%2F1+-+1%2Ay%2F1%29+%2B+1%5Cy+=+6 and simplify: So, we know that y=4. Since x+=+5%2F1+-+1%2Ay%2F1, x=1.

Answer: system%28+x=1%2C+y=4+%29.



ANSWER: The solution is (1,4) as an ordered as a pair where x=1 and y=4.

I hope the above steps and explanation were helpful.

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

Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

Respectfully,
Dr J