Question

Linear equation- (6+Step 1: -3r-5 = 13Step 2:-3x = 18Step 3: x=-610) = 13Which sequence describes the inverse operations usedfor steps 2 and 3 to solve the linear equation?O the addition property of equality and then thedivision property of equalitymultiplication property of equalitythe subtraction property of equality and then theO the addition property of equality and then thedivision property of equalityO the subtraction property of equality and then themultiplication property of equality

Answer 1

1. The Addition property of equality states that, if:

`a=b`

Then:

`a+c=b+c`

2. The Subtraction property of equality states that, if:

`a=b`

Then:

`a-c=b-c`

3. According to the Division property of equality, if:

`a=b`

Then:

`(a)/(c)=(b)/(c)`

4. According to the Multiplication property of equality, if:

`a=b`

Then:

`a\cdot c=b\cdot c`

In this case, you have the following equation:

`-(1)/(2)(6x+10)=13`

You can identify in the picture that in Step 1, each term inside the parentheses was multiplied by the fraction, then the Distributive property was applied:

`-3x-5=13`

In Step 2