Question

Match the system of equations to the number of solutions it has.(4 points)

x−2y=6 and 3x−6y=18
y=5x+7 and 3y−15x=18
3x+6=y and y=−1/3x−4
y=2/3x−1 and y=2/3x−2

Answer 1

x−2y=6 and 3x−6y=18 --> These two equations have one solution.
y=5x+7 and 3y−15x=18 --> These two equations have one solution.
3x+6=y and y=−1/3x−4 --> These two equations have one solution.
y=2/3x−1 and y=2/3x−2 --> These two equations have infinitely many solutions.