SOLUTION: 4x+y=7 x-2y=13

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: 4x+y=7 x-2y=13      Log On


   

Question 216963: 4x+y=7
x-2y=13
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
4x%2By=7
x-2y=13

The following will solve the linear system equations using substitution.

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++4%5Cx+%2B+1%5Cy+=+7%2C%0D%0A++++1%5Cx+%2B+-2%5Cy+=+13+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
4%2Ax+=+7+-+1%2Ay, or x+=+7%2F4+-+1%2Ay%2F4. Substitute that
into another equation:
1%2A%287%2F4+-+1%2Ay%2F4%29+%2B+-2%5Cy+=+13 and simplify: So, we know that y=-5. Since x+=+7%2F4+-+1%2Ay%2F4, x=3.

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



I hope the above steps and explanation were helpful.

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

Also, good luck in your studies and contact me at
john@e-liteworks.com for your future math needs.

Respectfully,
Dr J