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Two integers have a sum of -17 and a difference of 1. what are the integers

User Teggy
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In this problem we can write one equation for each condition so:


\begin{gathered} x+y=-17 \\ x-y=1 \end{gathered}

So we solve the second equation for x so:


x=1+y

and replace in the first equation :


\begin{gathered} 1+y+y=-17 \\ 2y=-18 \\ y=-9 \end{gathered}

and we replace y in the secon equation:


\begin{gathered} x=1-9 \\ x=-8 \end{gathered}

So the two integers are: -8 and -9

User Harsh Sureja
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