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WILL GIVE BRAINLIEST 15 POINTS!!! Consider the following pair of equations:

−x − y = −5
y = x + 1

If the two equations are graphed, at what point do the lines representing the two equations intersect?

I would love to know step by step how to do this so I understand the subject. :)

Respuesta :

baabaagreysheep
The two lines will intersect at the point (2, 3).

We can find this by setting the two equations equal to eachother, as the point at which they intersect is the point where they share the same x and y value. First, we have to get both equations in the form y = mx + c, so:
-x - y = -5
+ y
-x = -5 + y
+ 5
y = -x + 5

Now we can set -x + 5 equal to x + 1 and solve to find the x coordinate:

-x + 5 = x + 1
+ x
5 = 2x + 1
- 1
4 = 2x
÷ 2
2 = x

With the x coordinate, we can substitute it in to one of the equations and find our y coordinate:

y = 2 + 1 = 3

So the final answer is (2, 3).

I hope this helps!



-x + 5 = x + 1

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