SOLUTION: {{{system(0.05x + 0.25y = 44, 0.15x + 0.05y = 48) }}}

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: {{{system(0.05x + 0.25y = 44, 0.15x + 0.05y = 48) }}}      Log On


   

Question 309555: system%280.05x+%2B+0.25y+=+44%2C+0.15x+%2B+0.05y+=+48%29+
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
system%280.05x+%2B+0.25y+=+44%2C+0.15x+%2B+0.05y+=+48%29+
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 0.25*y to the right, we get:
0.05%2Ax+=+44+-+0.25%2Ay, or x+=+44%2F0.05+-+0.25%2Ay%2F0.05. Substitute that
into another equation:
0.15%2A%2844%2F0.05+-+0.25%2Ay%2F0.05%29+%2B+0.05%5Cy+=+48 and simplify: So, we know that y=120. Since x+=+44%2F0.05+-+0.25%2Ay%2F0.05, x=280.

Answer: system%28+x=280%2C+y=120+%29.