Question

Identify the properties used in step 1 and step 2 to solve the equation shown 2x+6=22 then discuss why those properties were used

Answer 1

Given an equation: 2x+6=22

Step 1: Using Subtraction property of equality:

For all real numbers a, b, and c. If a=b then a-c=b-c

If two expressions are equal to each other and you subtract the same value to both sides of the equation, the equation will remain equal.

Now, using above property we have ,

`2x+6=22`

`2x+6-6=22-6`

Simplify, we get:

`2x=16`

Step 2: Using division property of equality:

For any numbers a, b, c with c≠0.

If a=b, then
`(a)/(c)= (b)/(c)`

`(2x)/(2)=(16)/(2)`

Simplify we get;

x=8

Answer 2

In step 1 subtraction property is used and in step 2 division property is used.

Step-by-step explanation:

We have the equation 2x + 6 = 22

Step 1

The subtraction property of equality tells us that subtracting the same number to each side of an equation gives us an equivalent equation

So subtracting 6 from both sides

2x + 6 - 6 = 22 - 6

2x = 16

Step 2

The division property of equality tells us that you can divide each side of an equation with the same nonzero number to produce an equivalent equation

So dividing each side by 2.

`(2x)/(2) =(16)/(2) \\ \\ x=8`