Question

Find the value of x and y.

Answer 1

(2x+7)+(12y+1)=180
2x+7=3x-7

2x+12y=180-1-7
2x-3x=-7-7 (divide by -1 both sides of the equation) --> x=14

2x+12y=172 (divide by 2 both sides of the equation) --> x+6y=86

when x=14, then x+6y=86 is
14+6y=86 (subtract 14)
6y=86-14 (divide by 6)
y=12

answer: x =14, y=12

Answer 2

Solution : x = 14, y = 12  

Inner angle of triangle will be 2x+ 7 = (2(14)+7) = 35

Now for complete Outer angle will be 12y +1 = (12(12)+1) = 145

35 inner angle  + 145 outer angle add upto total 180 which is the complete angle .