SOLUTION: Solve the system of equations by substitution x+6y=23 2x+2y=16

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Question 394221: Solve the system of equations by substitution
x+6y=23
2x+2y=16
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+6%5Cy+=+23%2C%0D%0A++++2%5Cx+%2B+2%5Cy+=+16+%29%0D%0A++We'll use substitution. After moving 6*y to the right, we get:
1%2Ax+=+23+-+6%2Ay, or x+=+23%2F1+-+6%2Ay%2F1. Substitute that
into another equation:
2%2A%2823%2F1+-+6%2Ay%2F1%29+%2B+2%5Cy+=+16 and simplify: So, we know that y=3. Since x+=+23%2F1+-+6%2Ay%2F1, x=5.

Answer: system%28+x=5%2C+y=3+%29.