Question

How many solutions does the system of equations have? 2x + 3y = 6 y=-2/3x-1A. 0 B. 1 C. 2 D. infinite

Answer 1

0

Because -2/3x-1=2-2/3x

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

0=3

and that's wrong, so there is no solution.

Answer 2

A. 0

Step-by-step explanation

The first equation is

2x + 3y = 6

The second equation is

y=-2/3x-1

Let us rewrite the first equation in slope-intercept form.

3y =-2x+ 6

`y = - (2)/(3) x + 2`

We can see that both equations has the same slope,

`m = - (2)/(3)`

but different y-intercepts.

This implies that the two lines do not intersect because they are parallel.

Therefore the system has no solution.