Answer:
x=−175 and y=−1220
Step-by-step explanation:
Based on the Vertical Angles Theorem, -7x+5=y
Since we know that 2 angles that form a line when combined equal 180 degrees, we know that (4-12x)+y=180
-7x+5=y
(4-12x)+y=180
Now we solve the system:
7x+5=y;−8x+y=180
First, we solve 7x+5=y for y:
7x+5+(−y)=y+(−y)
7x−y+5=0
7x−y+5+ (−5)=0+ (−5)
7x−y=−5
7x−y+(−7x)=−5+(−7x)
−y=−7x−5
-y/-1=(-7x-5)/-1
y=7x+5
Now we will substitute 7x+5 for y in the other equation:
−8x+y=180
−8x+7x+5=180
−x+5=180
−x+5+(−5)=180+(−5)
−x=175
-x/-1 = 175/-1
x=−175
Finally, we'll substitute -175 for x in y=7x+5:
y=7x+5
y=(7)(−175)+5
y=−1220
HTH :)
