Question

These two functions intersect.

y=x+2

y=2x+3

Set the equations equal to each other, as shown in the notes, and solve for x. (It then says show all of your work but I just need help understanding the problem)

Answer 1

X=-1 this is because you have to get the X alone then you can solve the rest from there

Answer 2

x = -1

Explanation:

if you plot these two functions (which are both straight line graphs), you will see that they intersect at one point. The value of x you are trying to find is the x-coordinate of the point of intersection (see attached graph).

x + 2 = 2x + 3

subtract x from both sides: 2 = x + 3

subtract 3 from both sides: -1 = x

Therefore, x = -1

Sub x = -1 into either of the functions to get the y-coordinate of the point of intersection:

y = -1 + 2 = 1

So the point of intersection is (-1, 1)