Find the value of x if Y is the midpoint of XZ.
XY = 2x - 3 and XZ = 14

The value of x is 1. To solve this problem you have to setup the equation like this: 2(2x + 1) = 8x -2. This equation works because since Y is the midpoint, if you double YZ then you get XZ. From the equation you use distributive property to multiply 2 by everything within the parenthesis now the equation should look like this: 4x+2 = 8x -2. Now you can add 2 to both sides making the equation look like this: 4x + 4 = 8x. Then you subtract 4x from each side turning the equation into something like this: 4=4x then you divide by 4 on each side getting your 1 = x.

17/2

Step-by-step explanation:

Since y is the midpoint of XZ,

XY=XZ

so

2x-3=14

2x=14+3

2x=17

x=17/2

Hope it helps

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