SOLUTION: Can anyone help with my question - how to set up the equation, etc. Find two numbers whose sum is 63 and whose difference is 5.

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Question 237975: Can anyone help with my question - how to set up the equation, etc.

Find two numbers whose sum is 63 and whose difference is 5.
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
.
Here we have two variables and two equations. Once we figure out the equations, we will solve by substitution.
.
x%2By=63
x-y=5
.
Now, to solve by substitution:
1. Leave first equation alone for now.
2. Solve for y on the second equation.
3. Plug in this value (y) into the first eqn to find x
4. Once you know the x value, plug it again in the first equation to find y.
.
x-y=5
-y=5-x
y=-1%285-x%29
y=-5%2Bx
.
x%2By=63
x%2B%28-5%2Bx%29=63
2x=63%2B5
2x=68
x=68%2F2
x=34
.
x%2By=63
34%2By=63
y=63-34
y=29
.
Check:
x%2By=63 and x-y=5
.
34%2B29=63 and 34-29=5