SOLUTION: Solve each system by substitution I have the first number x = 2 but can not for the life of me get what y equals. {{{x - y = 19}}} {{{2x + y = -13}}}

Algebra ->  Linear-equations -> SOLUTION: Solve each system by substitution I have the first number x = 2 but can not for the life of me get what y equals. {{{x - y = 19}}} {{{2x + y = -13}}}      Log On


   

Question 124550: Solve each system by substitution I have the first number x = 2 but can not for the life of me get what y equals.
x+-+y+=+19
2x+%2B+y+=+-13
Answer by iluvbuilding429(41) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+-1%5Cy+=+19%2C%0D%0A++++2%5Cx+%2B+1%5Cy+=+-13+%29%0D%0A++We'll use substitution. After moving -1*y to the right, we get:
1%2Ax+=+19+-+-1%2Ay, or x+=+19%2F1+-+-1%2Ay%2F1. Substitute that
into another equation:
2%2A%2819%2F1+-+-1%2Ay%2F1%29+%2B+1%5Cy+=+-13 and simplify: So, we know that y=-17. Since x+=+19%2F1+-+-1%2Ay%2F1, x=2.

Answer: system%28+x=2%2C+y=-17+%29.