SOLUTION: Solve the system of equations by substitutions 2x+2y=18 x+3y=25

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Question 394222: Solve the system of equations by substitutions
2x+2y=18
x+3y=25
Answer by MathLover1(20850) 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++++2%5Cx+%2B+2%5Cy+=+18%2C%0D%0A++++1%5Cx+%2B+3%5Cy+=+25+%29%0D%0A++We'll use substitution. After moving 2*y to the right, we get:
2%2Ax+=+18+-+2%2Ay, or x+=+18%2F2+-+2%2Ay%2F2. Substitute that
into another equation:
1%2A%2818%2F2+-+2%2Ay%2F2%29+%2B+3%5Cy+=+25 and simplify: So, we know that y=8. Since x+=+18%2F2+-+2%2Ay%2F2, x=1.

Answer: system%28+x=1%2C+y=8+%29.