SOLUTION: one number is 6 more than the other. their sum is o. what is the value of the smaller number?

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Question 146147: one number is 6 more than the other. their sum is o. what is the value of the smaller number?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"one number is 6 more than the other" translates to y=x%2B6
"Their sum is 0" translates to x%2By=0



x%2Bx%2B6=0 Plug in y=x%2B6 into the second equation


2x%2B6=0 Combine like terms on the left side.


2x=0-6 Subtract 6 from both sides.


2x=-6 Combine like terms on the right side.


x=%28-6%29%2F%282%29 Divide both sides by 2 to isolate x.


x=-3 Reduce.


y=x%2B6 Go back to the first equation


y=-3%2B6 Plug in x=-3


y=3 Simplify


So the answer is x=-3 and y=3