Greetings!
Let x represent the first number
Let y represent the second number
[tex] \left \{ {{x+y=50} \atop {x-y=28}} \right. [/tex]
Eliminate a variable:
[tex] \frac{\left \{ {{x+y=50} \atop {x-y=28}} \right. }{2x=78}[/tex]
Solve for x:
[tex]2x=78[/tex]
Divide both sides by 2.
[tex]2x=78[/tex]
[tex] \frac{2x}{2}=\frac{78}{2} [/tex]
[tex]x=39[/tex]
Solve for the other variable:
[tex]x+y=50[/tex]
[tex]39+y=50[/tex]
Add -39 to both sides.
[tex]39+y=50[/tex]
[tex](39+y)+(-39)=(50)+(-39)[/tex]
[tex]y=11[/tex]
The Answer is:
[tex] \left[\begin{array}{ccc}x=39, y=11\end{array}\right] [/tex]
One number is 39 and the other is 11.
Hope this helped!
-Benjamin
