Question

A student says that (0, -2) is a solution of 9x-6=3y Are they correct or incorrect? Why?

Answer 1

Answer:

at y-intercept: (0,2) is the correct

Step-by-step explanation:

We have equation 1  

9x-6=3y

to find the x-intercept, substitute in 0 for y and solve for x

3(0)=9x+6

3(0)=9x+6

9x+6=0

Subtract 6 from both sides  

9x=−6

So x = -6/9 = -2/3

Now to find for y-intercept, substitute in 0 for x and solve for y

3y=9(0)+6

3y=0+6

3y=6

These are the x and y intercepts of the equation 3y=9x+6

x-intercept: (−2/3,0)

y-intercept: (0,2)

Answer 2

Answer:

Correct.

Step-by-step explanation:

Check if x = 0 and y = -2 fits the equation:

9(0) - 6 = -6

3(-2) = -6.

They do so the student is correct.