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.

Respuesta :

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]

Answer Link

Otras preguntas

5a-(8-a)=4a-10 equation:
.   Which one of the following pairs of numbers contains like fractions?A. 1/2 and 3/2B. 6/7 and 60/70C. 5/4 and 4/5D. 4/8 and 12/16
How do u solve this problem 9(72)
800 is 10 times as much as
if the area of a rectangle is 12cm2 what could its length be and its width?
15.   Which one of the following foods is an example of a healthy dessert treat?    A. Frozen pudding with sliced almondsB.
Omar scored an 82% on his first test of the quarter. Will a score of 38 our of 50 on the second test helo or hurt his grade? explain your reasoning. Using pe
A. What type of organism has the simplest level of organization B. name an example of this type of organism.
A=1/2h(b+c) solve for h
Foggy is to clear as vague it's to