SOLUTION: Please help me with this problem. Solve the system of equations by substitution: y=3x+2; y=4x

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Question 309194: Please help me with this problem. Solve the system of equations by substitution: y=3x+2; y=4x
Answer by ichudov(507) 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++++3%5Cx+%2B+-1%5Cy+=+-2%2C%0D%0A++++4%5Cx+%2B+-1%5Cy+=+0+%29%0D%0A++We'll use substitution. After moving -1*y to the right, we get:
3%2Ax+=+-2+-+-1%2Ay, or x+=+-2%2F3+-+-1%2Ay%2F3. Substitute that
into another equation:
4%2A%28-2%2F3+-+-1%2Ay%2F3%29+%2B+-1%5Cy+=+0 and simplify: So, we know that y=8. Since x+=+-2%2F3+-+-1%2Ay%2F3, x=2.

Answer: system%28+x=2%2C+y=8+%29.