Answer
x=42$^{\circ}$
y=25$^{\circ}$
Work Step by Step
Given: x+y=67$^{\circ}$, x-y=17$^{\circ}$
Isolate variable: x=17$^{\circ}$+y
Use Substitution: (17$^{\circ}$+y)+y=67$^{\circ}$
2y=50$^{\circ}$
y=25$^{\circ}$
Substitute Y to find X: x=17$^{\circ}$+25$^{\circ}$
x=42$^{\circ}$