SOLUTION: "Solve each system of equations:" y=2x+14 y=-6x+18 Please help me! Thank You

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: "Solve each system of equations:" y=2x+14 y=-6x+18 Please help me! Thank You       Log On


   



Question 222783: "Solve each system of equations:"

y=2x+14
y=-6x+18

Please help me!
Thank You

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
"Solve each system of equations:"

y=2x+14 or -2x+y=14
y=-6x+18 or 6x+y=18

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++-2%5Cx+%2B+1%5Cy+=+14%2C%0D%0A++++6%5Cx+%2B+1%5Cy+=+18+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
-2%2Ax+=+14+-+1%2Ay, or x+=+14%2F-2+-+1%2Ay%2F-2. Substitute that
into another equation:
6%2A%2814%2F-2+-+1%2Ay%2F-2%29+%2B+1%5Cy+=+18 and simplify: So, we know that y=15. Since x+=+14%2F-2+-+1%2Ay%2F-2, x=0.5.

Answer: system%28+x=0.5%2C+y=15+%29.



I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J