Question

Determine which method would be more efficient for solving: Rewriting and using the distributive property or dividing. Solve each equation. A. 2000 (x-0.03) = 6000 What does x equal??? B. 1/4 (4+x) = 4/3 What does x equal???

Answer 1

Answer:

A.  x = 3.03

B.  x = 4/3

Step-by-step explanation:

A.  2000 (x-0.03) = 6000 is quickly simplified byu dividing both sides by 2000:

(x - 0.03) = 3.  Removing the parentheses, we get:  x = -0.03 = 3, or x = 3.03.

B.  The distributive property is the faster method here.  We determine that the LCD is 12 and multiply both sides of this equation 1/4 (4+x) = 4/3 by 12:

3(4 + x) = 16

and then carry out the indicated multiplication:  12 + 3x = 16, or

3x = 4, or x = 4/3