Answer :
This the only option to find x since doing the other way like 3x + 2 = 3x + 2 gives it an infinite solution.
4x - 1 = 3x + 2
-3x -3x
1x - 1 = 2
+1 +1
1x = 3
--- ----
1 1
x = 3
Check:
4(3) - 1 = 3(3) + 2
12 - 1 = 9 + 2
11 = 11
17x-153 is the required expression for the perimeter of this pentagon and value of x is 9.
What is Expression?
An expression is combination of variables, numbers and operators.
We know that perimeter is sum of all the sides of a polygon.
The sides of pentagon are (4x-1), 3x+2, 3x+2, 3x+2, 4x-1
The perimeter of pentagon is 157 units
Now let us find the expression
Perimeter=4x-1+4x-1+3x+2+3x+2+3x+2
157=4x-1+4x-1+3x+2+3x+2+3x+2
Add all the like terms
157=17x+4
17x+4=157
17x+4-157
17x-153
17x=153
Divide both sides by 17
x=9
Hence, 17x-153 is the required expression for the perimeter of this pentagon and value of x is 9.
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