How many solutions does y=3x-1

y = 1/2x + 2

x=5/6

y=3/2

Step-by-step explanation:

They are both equal to y so set them equal to each other. (transitive property)

3x-1=1/2x+2

Multiply each side by 2.

(2) (3x-1) = 2 (1/2x+2)

6x-2=x+4

Subtract x from each side.

5x-2=4

Add two to each side.

5x=6

Divide each side by 5.

x=5/6

Now plug 5/6 into y=3x-1.

y=3 (5/6) - 1

y = (15/6) - 1

y = (5/2) - 1

Subtract 1.

y=3/2