If 23x + 101x = 130x, find the value of x
A
7
B
6
C
5
D
4
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
23x + 101x = 130x
2 x X1 + 3 x Xo + 1 x X2 + 0 x X1 + 1 x Xo
= 1 x Xo = 1 x X2 + 3 x X1 + 0 x Xo
= X2 + 3x + 0
2x + 3 = x2 + 0 + 1 + x2 + 3x
2x - 3x + x2 - x2 = -3 - 1
- x = -4
x = 4
Source: Myschool Past Questions Archive (Record #46039)