X+2y=-6
y= -1/2 - 3
name the solution to the system of linear equations

Infinite Amount of Solutions

(1, -3.5) - 2nd Option

Step-by-step explanation:

If your systems of equations is:

x + 2y = -6

y = -1/2x - 3

Then when you put the first equation in slope intercept form, you get the exact same 2 lines. Therefore, our answer is Infinite amount of solutions.

If you systems of equations is:

x+ 2y = -6

y = -1/2 - 3

We find where the 2 graphs intersect. Therefore, our answer is (1, -3.5)

⇒

(1,-3.5)

⇒Step-by-step explanation:

Well to find the solution we need to do the following

Steps,

Substitute y

Combine like terms

Sperearte x

When x is found substitute

Combine like terms

Single out y

x + 2(-1/2x - 3) = -6

x - 1 - 6 = -6

x - 7 = -6

x = 1

y = -1/2(1) - 3

y = -1/2 - 3

y = -3.5

(1,-3.5)