SOLUTION: How to solve 2x+5y=13 and 5x-2y=-11 using substitution method and addition method

Algebra ->  Finance -> SOLUTION: How to solve 2x+5y=13 and 5x-2y=-11 using substitution method and addition method      Log On


   

Question 962305: How to solve 2x+5y=13 and 5x-2y=-11 using substitution method and addition method
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B5y=13
5x-2y=-11

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++2%5Cx+%2B+5%5Cy+=+13%2C%0D%0A++++5%5Cx+%2B+-2%5Cy+=+-11+%29%0D%0A++We'll use substitution. After moving 5*y to the right, we get:
2%2Ax+=+13+-+5%2Ay, or x+=+13%2F2+-+5%2Ay%2F2. Substitute that
into another equation:
5%2A%2813%2F2+-+5%2Ay%2F2%29+%2B+-2%5Cy+=+-11 and simplify: So, we know that y=3. Since x+=+13%2F2+-+5%2Ay%2F2, x=-1.

Answer: system%28+x=-1%2C+y=3+%29.