Question

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

Answer 1

Answer:

$(6, 9)$

Step-by-step 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:

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