Question

How many solutions does this system have?

y = 2/3x + 3

2x - 3y = -9


A. one solution

B. two solutions

C. no solutions

D. infinitely many solutions

Answer 1

the answer is A .

Explanation:

-2x+y=3 ----> 2x - y = -3

6x=9-3y

6x + 3y = 9

divide by 3 ,

2x + y = 3

Since the slopes are different, they will intersect.

So ONE solution.