If you think about this equation as a line, then in order to have an infinite number of solutions is to have another equation that describes the same line.
So, for example 3y=2x-15 would be one of those.
As they are similar figures,we can use the ratio of the side to find out the value of z.
The only side that both have the value indicated is 4 and 6,therefore we would use it to find the ratio.
The eqaution would be:
6/4 = z/8
3/2 = z/8
3×8 = 2z
z = 24/2
z = 12
Thus the value of z is 12.
Hope it helps!
Hello :) please refer to the pic below!