nataliecooper3589 nataliecooper3589
  • 21-08-2019
  • Mathematics
contestada

Point Y is the midpoint of segment XZ. If XY = 2(3x +1) and YZ = 5x – 22, find the value of x.

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 01-09-2019

Answer:

[tex]x=-24[/tex]

Step-by-step explanation:

If Y is the midpoint of segment XZ, then [tex]XY=YZ[/tex].

In terms of x, XY = 2(3x +1) and and YZ = 5x – 22.

This implies that:

[tex]2(3x+1)=5x-22[/tex]

Expand the parenthesis

[tex]6x+2=5x-22[/tex]

Group similar terms to get:

[tex]6x-5x=-22-2[/tex]

[tex]x=-24[/tex]

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