Question

What are the x and y coordinates of the following equations?
y = x - 3
y = 2x + 2

Answer 1

Answer: The coordinates where the two lines intersect are (-5, -8).

Explanation:
To find the coordinates where the two lines intersect, we need to solve the system of equations simultaneously. We can do this by substitution or elimination, but we'll use substitution here:

First, we set the two equations equal to each other:

x - 3 = 2x + 2

Next, we solve for x:

x - 2x = 2 + 3

-x = 5

x = -5

Now that we have the value of x, we can substitute it into one of the original equations to find the corresponding value of y. Let's use the first equation:

y = x - 3

y = (-5) - 3

y = -8