Question

Based on the graph of the following system of equations, determine the number of solutions.

2x + 3y = 9
6y = 5 − 4x

No solutions

Exactly one solution

Exactly two solutions

Infinitely many solutions

Answer 1

y=-(2/3)x+3
y=-(4/6)x+5=-(2/3)x+5.

These are straight lines with the same slope
of -2/3 and hence are parallel. Since the
y-intercepts differ, they are different lines
and hence do not intersect.
No solutions - A.