Question

Two lines, A and B, are represented by equations given below:

Line A: y = x – 2
Line B: y = 3x + 4

Which of the following shows the solution to the system of equations and explains why? (1 point)


(–3, –5), because the point does not lie on any axis


(–3, –5), because the point satisfies both equations


(–4, –8), because the point satisfies one of the equations


(–4, –8), because the point lies between the two axes

Answer 1

So a system of equations means both x and y values are the same for both equations.

Right now, the lines are both = y so you set them equal to each other
x-2=3x+4

Then solve for x
-6=2x
x=-3

Since you have the x value, you can plug that in to either one of the two equations to get the y value

I'll use y=x-2
y= -3 -2
y= -5

Now check it to see if it satisfies both equations

so now you know they meet at (-3,-5)

The answer is (-3,-5) because the point satisfies both equations.