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

User Jlopes
by
5.6k points

2 Answers

2 votes

Answer:

(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

____________

Answer:

(1,-3.5)

User Matthew Kirkley
by
5.9k points
2 votes

Answer:

Infinite Amount of Solutions

(1, -3.5) - 2nd Option

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)

User DragonZero
by
5.6k points