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Types of Linear Equations

a) The Equation With one Variable:
a) The Equation With one Variable:

Learn how to solve linear equations that contain a single variable. For example, solve 2(x+3)=(4x-1)/2+7. For example, solve 2(x+3)=(4x-1)/2+7. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

b) The Equation With two Variables:
b) The Equation With two Variables:

Linear equations in one variable can be represented in generalized form as "ax = b". Read here to know about Linear Equations with Two Variables

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c) The Equation With Three Variables:
c) The Equation With Three Variables:

Step 2: Substitute this value for x in equations (2) and (3). This will change equations (2) and (3) to equations in the two variables y and z. Call the changed equations (4) and (5), respectively.

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Exponential Equations:
Exponential Equations:

Given a description of a real-world relationship, determine whether that relationship is linear or exponential.

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Linear Equations:
Linear Equations:

Another special type of linear function is the Constant Function ... it is a horizontal line: f(x) = C No matter what value of "x", f(x) is always equal to some constant value.

Quadratic Equations:
Quadratic Equations:

Make both equations into "y =" format Set them equal to each other Simplify into "= 0" format (like a standard Quadratic Equation) Solve the Quadratic Equation! Use the linear equation to calculate matching "y" values, so we get (x,y) points as answers ...

Radical Equations:
Radical Equations:

When you square a radical equation you sometimes get a solution to the squared equation that is not a solution to the original equation. Such an equation is called an extraneous solution. Remember to always check your solutions in the original equation to discard the extraneous solutions.

The General Form:
The General Form:

General Form of Equation of a Line The "General Form" of the equation of a straight line is:

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