Mathematics: Points W. X, and Y are collinear Point X is between points W X, and Y, are collinear point x is between w and y WX = 3y + 11, WY = 6y - 25, and XY = y + 12. Find WX, XY, and WY.

Points W. X, and Y are collinear Point X is between

kordejah348

05.02.2022

WX = 83

WY = 119

XY = 36

Step-by-step explanation:

Given

$WX = 3y + 11\\WY = 6y - 25\\XY = y + 12$

Required

Determine the values of WX, XY and XY

Since X is between W and Y, we have:

WY = WX + XY

6y - 25 = 3y + 11 + y + 12

Collect Like Terms

6y - 3y - y = 25 + 11 + 12

2y = 48

Solve for y

y = 48/2

y = 24

Substitute 24 for y in

$WX = 3y + 11\\WY = 6y - 25\\XY = y + 12$

WX = 3 * 24 + 11

WX = 83

WY = 6 * 24 - 25

WY = 119

XY = 24 + 12

XY = 36

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