Consider the sequence of steps to solve the equation:
5(x - 3) = 7x/2
step 1 ⇒ 10(x - 3) = 7x
step 2 ⇒ 10x - 30 = 7x
step 3 ⇒ 3x - 30 = 0
step 4 ⇒ 3x = 30
step 5 ⇒ x = 10
identify the property of equality which gets us from step 3 to step 4.
a) division property
c) subtraction property
b) addition property
d) multiplication property

B) Addition Property

Step-by-step explanation:

The Step 3 is:

The idea is to solve the equation, which means that you have to find the value of the variable .

As is a subtraction, you need to add 30 to both sides of the equation to keep the equation balanced. This property is known as "Addition property of equality".

This property states that adding the same number to both sides of the equation, the equality does not change:

Then, the Addition property of equality applied in Step 3, get you to Step 4:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64