Answer:
[tex](6, 9)[/tex]
Step-by-step explanation:
The point of intersection is also the solution to this system of equations.
We can solve this system using substitution:
[tex]x+y=15\\x+2x-3=15\\3x-3=15\\[/tex]
Add 3 to both sides:
[tex]3x=18[/tex]
Divide both sides by 3
[tex]x=6[/tex]
Then, substitute 6 for x to solve for y:
[tex]y=2x-3=2(6)-3=12-3=9[/tex]
Therefore the point of intersection is:
[tex](x, y)=(6, 9)[/tex]
