vertical angles equal each other and adjacent supplimentary angles =180
-3x-y+179=2x+y+134
-3x-y+179+6x-3y=180
simplify -3x-y+179+6x-3y=180
3x-4y+179=180
-179 both sides
3x-4y=1
+4y both sides
3x=4y+1
÷3 both sides
x=4/3y+1/3
plug in x into -3x-y+179=2x+y+134
-3 (4/3y+1/3)-y+179=2 (4/3y+1/3)+y+134
simplify
-4y-1-y+179=8/3y+2/3+y+134
-5y+178=11/3y+404/3
-11/3y both sides
-26/3y+178=404/3
-178 both sides
-26/3y= -130/3
x-3/26 both sides
y= 5
solve for X
-3x-y+179=2x+y+134
-3x-(5)+179=2x+(5)+134
-3x-5+179=2x+5+134
-3x+174=2x+139
-2x both sides
-5x+174=139
-174 both sides
-5x= -35
÷-5 both sides
x=7
-3x-y+179
2x+y+134
6x-3y
-3 (7)-5+179
2 (7)+5+134
6 (7)-3 (5)
-21-5+179
14+5+134
42-15
-26+179
19+134
27
153
153
27
a)x=7
b)y=5
c)-3x-y+179=153
d)6x-3y=27
e)2x+y+134=153