SOLVE BY SUBSTITUTION
Problem: Find the two numbers whose sum is 56 and difference is 18
Representations:
Let [tex]x[/tex] and [tex]y[/tex] be the unknown numbers
Equations:
[tex]\left \{ {x+y=56} \atop {x-y=18}} \right.[/tex]
Solution:
[tex]x=56-y[/tex]
[tex]x-y=18[/tex]
[tex](56-y)-y=18[/tex]
[tex]-2y=18-56[/tex]
[tex]-2y=-38[/tex]
[tex]y=19[/tex]
[tex]x=56-y[/tex]
[tex]x=56-(19)[/tex]
[tex]x=37[/tex]
Answer:
[tex]{\orange{\huge{\boxed{x=37,y=19}}}}[/tex]
[tex]{\purple{\boxed{Soyeon:))}}}[/tex]
