How many solutions does the system have? y= -3x + 9
3y = -9x + 9
Choose 1 answer
A. Exactly one solution
B. No solutions
C. Infinitely many solutions

B. No solutions

Step-by-step explanation:

y= -3x + 9

3y = -9x + 9

Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.

y = -3x + 9

y = -3x + 3

Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.

No solutions

C

Step-by-step explanation:

Yes