Select the correct point. One linear equation is defined by points (1,6) and (3,7), while the other is defined by points (3,6) and (5,8). Which point represents the solution
of this system of equations?

(5.8)

Step-by-step explanation:

y=mx+b6=1/2+b, b=5 1/2=11/2 soy1=(x+11)/2now the other line...m=(8-6)/(5-3)=2/2=1y2=x+b, using point (3,6) we solve for b6=3+b, b=3 soy2=x+3Since this is just two lines they will only intersect at a single point and when they do, y=y so we can say:x+3=(x+11)/22x+6=x+11x+6=11x=5, now use either line to solve for the corresponding y value...y2=x+3 becomes y=5+3=8 so the solution to this system is the point: