SOLUTION: Find the value of two numbers if their sum is 12 and their difference is 4

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Question 731499: Find the value of two numbers if their sum is 12 and their difference is 4
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let two numbers be x and y
if their sum is 12 we have
x%2By=12.....eq. 1
and if their difference is 4 we have
x-y=4.....eq. 2
solve the system:
x%2By=12.....eq. 1
x-y=4.....eq. 2
_______________________
x%2By=12.....eq. 1...solve fo y
y=12-x.......substitute in eq. 2
x-%2812-x%29=4.....eq. 2.....solve fo x
x-12%2Bx=4
2x=4%2B12
2x=16
x=16%2F2
highlight%28x=8%29
now find y
y=12-x
y=12-8
highlight%28y=4%29