Question

write an equivalent equation and explain the strategy. $\frac{3y}{4}=6$ $y =$ using the multiplication property of equality eliminates the fraction on the left side and results in an equivalent equation.

Explanation:

Step1: Multiply both sides by 4

$4\times\frac{3y}{4}=4\times6$

Step2: Simplify both sides

$3y = 24$

Step3: Solve for y

$y=\frac{24}{3}=8$

Answer:

The equivalent equation is $3y = 24$ and $y = 8$. The strategy is to use the multiplication - property of equality. Multiply both sides of the original equation $\frac{3y}{4}=6$ by the denominator 4 of the fraction on the left - hand side to get an equivalent equation without the fraction, and then solve for the variable $y$.