Question

Consider the equation below and write an equivalent equation using the multiplication property of equality. (Hint: You're not being asked to completely solve for x here.) \frac{x}{3}+7=13 3 x ​ +7=13

Answer 1

Consider the equation below:

$\frac{x}{3} + 7 = 13$

We have to write an equivalent equation using the multiplication property of equality.

Multiplication property of equality states that:

" This property allows to multiply the same quantity by both sides of an equation".

Now, the equation is $\frac{x}{3} + 7 = 13$

Let us multiply both sides of the equation by any number. Let it be '2'.

$2 \times (\frac{x}{3} + 7) = 2 \times 13$

$(2 \times \frac{x}{3}) +(2 \times 7) = 2 \times 13$

$\frac{2x}{3} +14 =26$ is the equivalent equation to the given equation.