SOLUTION: hi... my equation is 6x+9y=39 and the bottom one is -2x+2y=18 i need to find the method of the equation i hope you can help me with this problem thank you a lot...

Algebra ->  College  -> Linear Algebra -> SOLUTION: hi... my equation is 6x+9y=39 and the bottom one is -2x+2y=18 i need to find the method of the equation i hope you can help me with this problem thank you a lot...      Log On


   

Question 310221: hi... my equation is 6x+9y=39 and the bottom one is -2x+2y=18 i need to find the method of the equation i hope you can help me with this problem thank you a lot...
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
system%28+6x%2B9y=39%2C+-2x%2B2y=18+%29+
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++6%5Cx+%2B+9%5Cy+=+39%2C%0D%0A++++-2%5Cx+%2B+2%5Cy+=+18+%29%0D%0A++We'll use substitution. After moving 9*y to the right, we get:
6%2Ax+=+39+-+9%2Ay, or x+=+39%2F6+-+9%2Ay%2F6. Substitute that
into another equation:
-2%2A%2839%2F6+-+9%2Ay%2F6%29+%2B+2%5Cy+=+18 and simplify: So, we know that y=6.2. Since x+=+39%2F6+-+9%2Ay%2F6, x=-2.8.

Answer: system%28+x=-2.8%2C+y=6.2+%29.