Question

I attached a picture below! Im kinda confused like what do is it mean by reasons

Answer 1

EXPLANATION :

We will discuss each line one by one.

5x + 1 = 21 is a Given

5x = 20

Note that the Subtraction property of equality states that if a value is subtracted from two equal quantities, then the differences are also equal :

`\begin{gathered} a=b \\ \text{ Subtracting c from both quantities :} \\ a-c=b-c \end{gathered}`

Going back to our equation, subtracting 1 from both sides :

`\begin{gathered} 5x+1=21 \\ (5x-1)-1=21-1 \\ 5x=20 \end{gathered}`

So the reason is Subtraction Property of Equality

x = 4

Note that the Division property of equality states that when dividing both sides by the same non-zero number, the two sides remain equal.

`\begin{gathered} a=b \\ \text{ Divide both sides by c :} \\ (a)/(c)=(b)/(c) \end{gathered}`

Going back to our equation, dividing both sides by 5 :

`\begin{gathered} 5x=20 \\ (5x)/(5)=(20)/(5) \\ \\ x=4 \end{gathered}`

So the reason is Division Property of Equality