QuestionTo solve any equation, "undo" the operations/numbers on the variable side by using the inverse. Remember, what you do to one side of the equation, must be done to the other (to keep it balanced). Work BACKWARDS using the Order of Operations.
Solve $9 + 4x = 9$
Addition and Subtraction are Inverses. Multiplication and Division are Inverses.

Studdy Solution

STEP 1

1. We are given the equation $9 + 4x = 9$ .
2. We need to solve for the variable $x$ .
3. We will use inverse operations to isolate the variable.
4. The equation must remain balanced, meaning any operation performed on one side must also be performed on the other side.

STEP 2

1. Identify the operations on the variable side.
2. Use inverse operations to isolate the variable.
3. Simplify the equation to find the value of the variable.

STEP 3

Identify the operations on the variable side. The equation is $9 + 4x = 9$ . The operations on the variable side are addition of 9 and multiplication of 4 with $x$ .

STEP 4

Use inverse operations to isolate the variable. Start by undoing the addition of 9 using subtraction.
Subtract 9 from both sides of the equation:
$9 + 4x - 9 = 9 - 9$
This simplifies to:
$4x = 0$

STEP 5

Now, undo the multiplication of 4 with $x$ using division.
Divide both sides by 4:
$\frac{4x}{4} = \frac{0}{4}$
This simplifies to:
$x = 0$
The solution to the equation is:
$\boxed{0}$

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