Question

6. If X is the midpoint of WY, WX = 3x - 1 and
WY = 10x - 26, find XY.

Answer 1

XY = 17

Step-by-step explanation:

It is given that x is the mid-point of WY, so it divides WY in two equal parts

WX and XY so the sum of both lengths will constitute the length of WY

$WY = WX+XY\\XY = WY - WX$

putting values

$XY = 10x-26 -(3x-1)\\= 10x-26-3x+1\\= 7x-25$

As X is the mid-point,

$WX = XY\\3x-1 = 7x-25\\3x-1-3x = 7x-25-3x\\-1 = 4x-25\\-1+25 = 4x-25+25\\24 = 4x$

Dividing both sides by 4

$\frac{4x}{4} = \frac{24}{4}\\x = 6$

XY = 7x-25

$=7(6) -25\\= 42-25\\=17$

So,

XY = 17

Verification:

WX = XY

$3x-1 = 7x-25\\3(6)-1 = 7(6)-25\\18-1 = 42-25\\17 = 17$

Keywords: Linear equations, polynomials

Learn more about polynomials at:

• brainly.com/question/5758530
• brainly.com/question/573729

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