Question

Find YZ.
X 2x + 3
27-
Y
3x - 1
N

Answer 1

Answer: is 14 do you need step by step?

Answer 2

Answer: 14

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Step-by-step explanation:

The two pieces XY and YZ add to segment XZ

XY + YZ = XZ

(2x+3) + (3x-1) = 27

2x+3 + 3x-1 = 27

(2x+3x) + (3-1) = 27

5x+2 = 27

5x = 27-2

5x = 25

x = 25/5

x = 5

Then,

• XY = 2x+3 = 2*5+3 = 10+3 = 13
• YZ = 3x-1 = 3*5-1 = 15-1 = 14

As a check: XY + YZ = 13+14 = 27 which confirms the answer.