Question

The equation 4 ( x - 2 ) = 100 is a true equation for a particular value of x. Explain why 2 ( x - 2 ) = 50 is also true for the same value of x.

Answer 1

a) 4(x - 2) = 100

4x - 8 = 100

4x = 92

x = 23

b) 2(x - 2) = 50

2x - 4 = 50

2x = 46

x = 23

Explanation:

When solving for x in both equations, we get the same value of x which makes that statement true.