Answer:
x = 6 for Side 14 - 2x
x = 9 for Side 2x + 1
x = 11 for Side 3x - 1
Explanation:
14 - 2x + 2x + 1 + 3x - 1 = 26
-2x + 2x + 3x - 1 + 1 + 14 = 26
3x + 14 + 1 - 1 = 26
3x + 14 = 26
-14 -14
-------------------
3x = 12
/3 /3
------------------
x = 4
Now, plug x = 4 into all the side expressions and find out their lengths.
14 - 2x
= 14 - 2(4)
= 14 - 8
= 6
2x + 1
= 2(4) + 1
= 8 + 1
= 9
3x - 1
= 3(4) - 1
= 12 - 1
= 11
Add all the lengths you got and you will see the perimeter is indeed 26, which means our side lengths are correct.
6 + 9 + 11 = 26
26 = 26 CORRECT