Question

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

Answer 1

a. one solution

b. no solution

c. infinitely many solutions

d. cannot be determined

Answer 2

Answer (c). You can prove it with the first equation,

\[y=-2x/3+x\Rightarrow3y=-2x+9\Rightarrow2x+3y=9\]
But this equation is equal to the second, so there are inifite solutions.

Answer 3

ooo thank you :)