SOLUTION: 2x-3y=-14 7x+68=y

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: 2x-3y=-14 7x+68=y      Log On


   

Question 214711: 2x-3y=-14
7x+68=y
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y=-14
7x%2B68=y+ or 7x-y=-68

The following steps will solve the above equation using SUBSTITUTION:

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++2%5Cx+%2B+-3%5Cy+=+-14%2C%0D%0A++++7%5Cx+%2B+-1%5Cy+=+-68+%29%0D%0A++We'll use substitution. After moving -3*y to the right, we get:
2%2Ax+=+-14+-+-3%2Ay, or x+=+-14%2F2+-+-3%2Ay%2F2. Substitute that
into another equation:
7%2A%28-14%2F2+-+-3%2Ay%2F2%29+%2B+-1%5Cy+=+-68 and simplify: So, we know that y=-2. Since x+=+-14%2F2+-+-3%2Ay%2F2, x=-10.

Answer: system%28+x=-10%2C+y=-2+%29.



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