Question

How many solutions will this system of equations have?
x - 2y = 24

3x - 6y = 72


A) No solution
B) Infinite solutions
C) One solution
D) Two solutions

Answer 1

hint, multiply the first equation through by 3

Answer 2

what do ya notice

Answer 3

or solve for x in x - 2y = 24

Answer 4

then substitute the x you got in that equation for the x in this equation: 3x−6y=72

Answer 5

so if you have solved for x in the first equation I gave you, you should get: x=2y+24

Answer 6

So the equation you should get after substituting would be: 3(2y+24)−6y=72

Answer 7

then simplify

Answer 8

to get 72=72

Answer 9

then subtract 72 from each side to get 0=0, which means there are an infinite amount of solutions