Question

When rewriting a literal equation in terms of a specific variable, you may need to divide by which of the following options? Select all that apply.

Variable
Variable Expression
Number
Inequality Sign

Answer 1

Answer:

• Variable

• Variable expression

• Number

Explanation:

In a literal equation, the specifi variable that you want to isolate may be multiplied by other variable, by a variable expression or by a number. In those cases, to isolate the specific variable you must divide by both sides of the equation to get obtain your variable alone.

This is an example of each case:

1. Another variable.

Equation:

    $xy=55$

Assume you want isolate x.

Divide both sides by y:

      $xy=55\\\\\\ \dfrac{xy}{y}=\dfrac{55}{y}\\\\\\ x=\dfrac{55}{y}$

2. Variable expression.

Equation:

     $x(y^2+3)=55$

Divide both sides by the expression:

     $\dfrac{x(y^2+3)}{(y^2+3)}=\dfrac{55}{(y^2+3)}\\ \\ \\ x=\dfrac{55}{(y^2+3)}$

3. Number:

     $100x=55$

Divide both sides by 100:

   $\dfrac{100x}{100}=\dfrac{55}{100}\\ \\ \\ x=\dfrac{55}{100}$

Those are the three cases: a variable, a variable expression, and a number.

You will never divide by an inequality or equality sign.

Answer 2

Answer:

The answer above is correct!

Step-by-step explanation:

It came up as right when I turned in my assignment