SOLUTION: How do I do this linear equation by solving by substitution? y=x+3 x+y=5

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do I do this linear equation by solving by substitution? y=x+3 x+y=5      Log On


   

Question 214187: How do I do this linear equation by solving by substitution?
y=x+3
x+y=5
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
\How do I do this linear equation by solving by substitution?
y=x+3
x+y=5

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+=+3%2C%0D%0A++++1%5Cx+%2B+1%5Cy+=+5+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
-1%2Ax+=+3+-+1%2Ay, or x+=+3%2F-1+-+1%2Ay%2F-1. Substitute that
into another equation:
1%2A%283%2F-1+-+1%2Ay%2F-1%29+%2B+1%5Cy+=+5 and simplify: So, we know that y=4. Since x+=+3%2F-1+-+1%2Ay%2F-1, x=1.

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



The solutions are x=1 and y=4 or the point(1,4)

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