Question

If anyone can FaceTime and walk me through this that would be amazing! If not, please answer with how you got it (work shown) with slope intercept form and a pdf please! Thank you!

y= -2x + 2
y= -x - 2

Answer: ( _ , _)

Answer 1

(4, -6) is the solution

how?
graph the first equation on a coordinate plane ( y=-2x+2) the y intercept would be 2 and the slope would be -2/1

graph the second equation on a coordinate plane (y=-x-2) the yintercept would be -2 and the slope would be -1/1

now after graphing those equations on the same coordinate plane you will see they will intersect and that point where they intersect is the solution to the system

Answer 2

(4, -6)

Explanation:

Pre-Solving

We are given the following equations:

y = -2x + 2

y = -x - 2

We want to find the intersection of these two lines, which will be a point.

Solving

There is a property in math known as transitivity, which says that if a=b and b=c, then a=c.

Since both -2x + 2 and -x -2 are equal to y, this means that -2x + 2 = -x -2.

We can take this equation and use it to solve it for the x value of the point. We can start by adding 2 to both sides.

-2x + 2 = -x - 2

+ 2 +2

_____________

-2x + 4 = -x

Now, we can add 2x to both sides.

-2x + 4 = -x

+2x +2x

_____________

4 = x

So, the value of x of the point is 4.

Now, we need to find the y value.

We can substitute x as 4 in either y=-2x+2 or y=-x-2.

Taking the second equation for instance:

y = -4 - 2 = -6

The value of y of the point is -6.

The answer is (4, -6).