Question

Look at the system of equations.

y=2x+3 , 2y=4x+10
Which statement about this system of equations is true and why?
A. It has infinitely many solutions because the equations have the same slope when graphed.
B.It has one solution because the equations are not the same line when graphed.
C.It has infinitely many solutions because the lines are parallel when graphed.
D.It has no solution because the lines are parallel when graphed.

Answer 1

[AI-generated answer — Bot GPT 3.5]

B. It has one solution because the equations are not the same line when graphed.

In this case, the two equations represent two distinct lines with different slopes. Therefore, they intersect at exactly one point, leading to one unique solution.