SOLUTION: hi, my name is julie and i'm trying to find out how to do this problem, it is: x = 1/3y + 2 -2x - y = 1 the answers that are representing x and y have to have t

Algebra ->  Equations -> SOLUTION: hi, my name is julie and i'm trying to find out how to do this problem, it is: x = 1/3y + 2 -2x - y = 1 the answers that are representing x and y have to have t      Log On


   

Question 44893: hi, my name is julie and i'm trying to find out how to do this problem, it is:
x = 1/3y + 2
-2x - y = 1
the answers that are representing x and y have to have the same numbers that can be plugged into them.
Answer by aaaaaaaa(138) About Me  (Show Source):
You can put this solution on YOUR website!
x+=+y%2F3+%2B+2
x+-+y%2F3+=+2

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving -0.333333333333333*y to the right, we get:
1%2Ax+=+2+-+-0.333333333333333%2Ay, or x+=+2%2F1+-+-0.333333333333333%2Ay%2F1. Substitute that
into another equation:
-2%2A%282%2F1+-+-0.333333333333333%2Ay%2F1%29+%2B+-1%5Cy+=+1 and simplify: So, we know that y=-3. Since x+=+2%2F1+-+-0.333333333333333%2Ay%2F1, x=1.

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