How many solutions does this system have? (1 point)

2x+y=3
6x=9-3y

a)one
b)none
c)infinite
d)two

The given system of equation that is and has infinite number of solutions.

Option -C.

Solution:

Need to determine number of solution given system of equation has.

Let us first bring the equation in standard form for comparison

To check how many solutions are there for system of equations , we need to compare ratios of

In our case,  

As , so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb

i hope this is what you were looking for.

see attached graph