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2 years ago

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

Mathematics

1 answer:

slamgirl [31]2 years ago

4 0

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:

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

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