Ax = bx + 1. How is the value of x related to the difference of a and b?

Question

asked Oct 19, 2021 95.2k views

2 Answers

Dylan Brams · Answer 1 · 2021-10-24T19:57:20+0000

Answer:

x = 1/(a-b)

Explanation:

The given equation is ax = bx + 1

Collecting like terms:

ax - bx = 1

Factorizing x out of the equation:

x(a - b) = 1

Dividing both sides by (a - b):

$(x(a - b))/((a - b)) = (1)/(a - b) \\x = (1)/(a - b)$

Therefore, x is related to the difference of a and be by the equation

x = 1/(a-b) where a - b is the difference of a and b