Question asks for elimination method to solve
7x+6y=44 ..................(1)
7x-6y=-16...................(2)
What makes this question easy to eliminate is that the coefficients of x and y in both equations are 7 and 6.
(1)+(2) =>
7x+6y+7x-6y = 44-16
simplify
14x=28
x=2
Then for y,
(1)-(2)
7x+6y-(7x-6y) = 44-(-16)
distribute
7x+6y-7x+6y = 44+16
simplify
12y=60
y=5
So solution is x=2, y=5, or (2,5) is the intersection point of the two lines.