Question

A student solves the equation x+3/2 = 3x+5/5 using the steps in the table.

Which method of solving for the variable could be used instead of cross multiplication?
distributing x + 3 and then 3x + 5 to both sides of the equation
distributing x – 3 and then 3x – 5 to both sides of the equation
using the multiplication property of equality to multiply both sides of the equation by 10
using the multiplication property of equality to multiply both sides of the equation by 1/10

Answer 1

C.

Explanation:

:)

Answer 2

The given equation is:

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

Cross multiplication would have given us

`5(x+3)=2(3x+5)`..................(Equation 1)

Now, if we use the multiplication property of equality to multiply both sides of the equation by 10, we will get:

`(x+3)/(2)* 10= (3x+5)/(5)* 10`

This will become
`5(x+3)=2(3x+5)`, which is the same as (Equation 1) which we had got from cross multiplication.

Thus, out of the given options, the third option, "using the multiplication property of equality to multiply both sides of the equation by 10" is the correct one.