Question

Equation A and Equation B are Equivalent Equations.Equation A: 3/5x + 4/5 = 2Equation B: 3x + 4 = 10Explain what was done to both sides of equation A to create equation B?

Answer 1

You have the following equations:

3/5 x + 4/5 = 2

3x + 4 = 10

In order to show that the previous equations are equivalent equations, multiply the first equation by 5, to eliminate the denominators of the fractions:

(3/5 x + 4/5 = 2)(5)

3x + 4 = 10

Hence, it was necessary to multiply by 5 the first equation to obtain the second one