Question

When 3(x-k)/w =4 is solved for x in terms of w and k, its solution is which of the following?

A) 4/3w+k B) k-3w/4 C) k-4/3w or D) 4/3+w-k

Answer 1

The solution of x in terms of w and k from 3(x - k)/w = 4 is;

Option A; ⁴/₃w + k

We are given;

3(x - k)/w = 4

We want to find x in terms of w and k.

Step 1; Using multiplication property of equality, let us multiply both sides by w to get;

(3(x - k)/w) × w = 4 × w

⇒ 3(x - k) = 4w

Step 2; Using division property of equality, divide both sides by 3 to get;

3(x - k)/3 = 4w/3

x - k = 4w/3

Step 3; Using addition property of equality, add k to both sides to get;

x = ⁴/₃w + k

In conclusion the solution to the question is; x = ⁴/₃w + k

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