SOLUTION: How do I solve by substitution of linear equation? x=y+2 x+3y=14

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Question 214188: How do I solve by substitution of linear equation?
x=y+2
x+3y=14
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
How do I solve by substitution of linear equation?
x=y%2B2
x%2B3y=14

The following steps will solve the system of linear equations by substitution:

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+-1%5Cy+=+2%2C%0D%0A++++1%5Cx+%2B+3%5Cy+=+14+%29%0D%0A++We'll use substitution. After moving -1*y to the right, we get:
1%2Ax+=+2+-+-1%2Ay, or x+=+2%2F1+-+-1%2Ay%2F1. Substitute that
into another equation:
1%2A%282%2F1+-+-1%2Ay%2F1%29+%2B+3%5Cy+=+14 and simplify: So, we know that y=3. Since x+=+2%2F1+-+-1%2Ay%2F1, x=5.

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



The solutions are x=5 and y=3 or the point(5,3)

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J