Answer
x=102$^{\circ}$
y=78$^{\circ}$
Work Step by Step
Given: x+y=180$^{\circ}$, x-y=24$^{\circ}$
Isolate variable: x=24$^{\circ}$+y
Use Substitution: (24$^{\circ}$+y)+y=180$^{\circ}$
2y=156$^{\circ}$
y=78$^{\circ}$
Substitute Y to find X: x=24$^{\circ}$+78$^{\circ}$
x=102$^{\circ}$