Question

Janae needs to solve the equation 3x + 5/16 = 3/4 - 1/8x - 1/2. What is an advantage of using the multiplication property of equality before combining like terms using other properties? In your explanation, tell the value by which you would multiply both sides.

Answer 1

Explanation:

Given the expression 3x + 5/16 = 3/4 - 1/8x - 1/2

First we need to use the multiplication prope-rty before combining the like terms. The importance of this is to covent all fraction's to whole numbers.

Multiply through by 16

48x+5= 12-2x-8

Next is to collect the like terms

48x+2x = -8+12-5

50x = -1

Divide both sides by 50

50x/50 = -1/50

x = -1/50

The value used to multiply both sides is 16 and the value of x is -1/50