What is the solution for the system of equations?

-4x+y=-2
y+5=-6x

(-3/10,-16/5)

Step-by-step explanation:

One way to solve a system of equations is by elimination.  We can take one equation and subtract the other equation from it to cancel out on of the variables making the equation into something we can solve.  In this case the Y's will cancel out because we have 1 Y in each equation

-4x+y=-2

6x+y=-5 subtract

-4x-6x=-10x

y-y=0

-2-(-5)=3

so our equation is -10x=3 and we can solve for x giving us x=-3/10

now we can plug -3/10 in for x into either of the original equations and solve for Y

y+5=-6(-3/10)

y+5=9/5

y=-16/5

so our answer is (-3/10,-16/5)

I hope this helps and please don't hesitate to ask if there is anything still unclear!

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.