Question

Find the point of intersection:
y=2x-3
x+y=15

Answer 1

`(6, 9)`

Explanation:

The point of intersection is also the solution to this system of equations.

We can solve this system using substitution:

`x+y=15\\x+2x-3=15\\3x-3=15\\`

Add 3 to both sides:

`3x=18`

Divide both sides by 3

`x=6`

Then, substitute 6 for x to solve for y:

`y=2x-3=2(6)-3=12-3=9`

Therefore the point of intersection is:

`(x, y)=(6, 9)`