Step 1
Given; The sum of two numbers is 9 and their difference is 7. Find the two numbers.
Step 2
Let the two numbers be x and y
[tex]\begin{gathered} x+y=9--(1) \\ x-y=7---(2) \end{gathered}[/tex]Step 3
Solve using the elimination method
[tex]\begin{gathered} x+y=9 \\ - \\ x-y=7 \\ ------- \\ 0+2y=2 \\ 2y=2 \\ y=\frac{2}{2}=1 \end{gathered}[/tex][tex]\begin{gathered} From\text{ equation 1, x+y=9} \\ x+1=9 \\ x=9-1 \\ x=8 \end{gathered}[/tex]Answer;
[tex]\begin{gathered} x=8,y=1 \\ So\text{ the two numbers are 8 and 1} \end{gathered}[/tex]