How many solutions does the following system have?
y = -2/3 x + 3 and 2x + 3y = 9

A one solution
B no solution
C infinitely many solutions
D cannot be determined

Question

How many solutions does the following system have?
y = -2/3 x + 3 and 2x + 3y = 9

A one solution
        B no solution
        C infinitely many solutions
       D cannot be determined

anonymous · Answer

Make both equations equal to y

anonymous · Answer

So 2x+3y=9
subtract 2x from both sides, giving you 3y=-2x+9
Now divide both sides by 3, which will give you y=-2/3x+3. 
They're the same exact equation, so that means it infinitely many solutions.