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This system has one solution.
y=x^2−3x+7,
y=3x−2
What is the y-coordinate of the solution?
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Respuesta :

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Answer:

y = 7

Step-by-step explanation:

kudzordzifrancis

Answer:

y=7

Step-by-step explanation:

The given system is

[tex]y=x^2-3x+7[/tex]

and

[tex]y=3x-2[/tex]

We equate the two equations to find their point of intersection.

[tex]x^2-3x+7=3x-2[/tex]

[tex]x^2-3x-3x+7+2=0[/tex]

[tex]x^2-6x+9=0[/tex]

[tex](x-3)^2=0[/tex]

[tex]x-3=0[/tex]

[tex]x=3[/tex]

The y-coorinate is

[tex]y=3(3)-2[/tex]

[tex]y=9-2=7[/tex]

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