SOLUTION: Use the substitution method to solve the linear system given. Express the answer as an ordered pair of the form (x,y) y = x + 2 3x + 2y = 9

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Question 221187: Use the substitution method to solve the linear system given. Express
the answer as an ordered pair of the form (x,y)
y = x + 2
3x + 2y = 9
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Use the substitution method to solve the linear system given. Express the answer as an ordered pair of the form (x,y)

y = x + 2 or -x+y=2
3x + 2y = 9

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++-1%5Cx+%2B+1%5Cy+=+2%2C%0D%0A++++3%5Cx+%2B+2%5Cy+=+9+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
-1%2Ax+=+2+-+1%2Ay, or x+=+2%2F-1+-+1%2Ay%2F-1. Substitute that
into another equation:
3%2A%282%2F-1+-+1%2Ay%2F-1%29+%2B+2%5Cy+=+9 and simplify: So, we know that y=3. Since x+=+2%2F-1+-+1%2Ay%2F-1, x=1.

Answer: system%28+x=1%2C+y=3+%29.



ANSWER: The solution as an ordered pair is (1,3).

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