CALCULATOR

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## Linear Equations Calculator

What variable are you solving for?

$=$

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INTRO

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An equation is a math sentence that uses an equals sign to tell us two values or expressions are equal.$10=10$

Think of an equation as a scale. If we change one side of the equation, we have to do the same thing to the other side to keep the equation balanced (true).

Try playing around with the scale below to see for yourself!

Now let’s take a look at another equation:

$3x+10=16$Notice that this equation mostly just has numbers, but it also has an $x$ in there. This $x$ is what we call a variable.In math, a variable is a symbol, usually a letter like $x$, that represents a number or value we don’t know yet but want to find.

This equation is also an example of a linear equation. A linear equation is an equation that does not have any variables with exponents, and when graphed, forms a straight line.KEY STEPS

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## How to Solve Linear Equations

### Step 1. Move all the terms with the unknown variable to one side of the equation.

Use inverse operations to do this.

Make sure to do the same inverse operation on both sides to keep the equation balanced.

### Step 2. Move all the terms with known values or variables to the other side of the equation.

Use inverse operations to do this.

Make sure to do the same inverse operation on both sides to keep the equation balanced.

### Step 3. Isolate the unknown variable.

Since division is the inverse operation of multiplication, we divide both sides by the number the variable is multiplied by.

LESSON

— Solving Linear Equations

PRACTICE

— Solving Linear Equations

CONCLUSION

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