Question

solve the system. Give the x-value of the solution.
3x-5y=16 and -9x+15=48

answer key:
7
0
no solution
infinite number solution

Answer 1

3x-5y=16
-9x+15=48

notice that if you divide the 2nd by -3 , you get
3x - 5y = -16

clearly you will have two different parallel lines, thus no solution.

or

if we subtract:
3x-5y=16
3x-5y=-16
0 = 32
not very likely !!!! , so no solution