janisga
Answered

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

Sagot :

iciclepiano18

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]

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