No Solution Equation Test #5

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In this section, we learn about special case linear equations. When we encounter special case equations, we will see No Solution Equations and Equations
that have infinitely many solutions. When solving equations, we will encounter three types of equations. These are conditional equations, identities, and
contradictions. The first type of equation, known as a conditional equation is true under certain conditions, but false under others. As an example, suppose
we look at 3x = 12. This equation is true when x = 4, but false when x is any other value. The second equation, an identity is always true, no matter what
value replaces the variable. The left and the right side can be simplified to match each other. As an example, 3(x - 5) = 3x - 15. If we simplified each
side we would get: 3x - 15 = 3x - 15. No matter what value we replace x with, the equation is true. For this type of equation, the solution is all real
numbers. The last type of equation is known as a contradiction also known as a No Solution Equation. This type of equation is never true, no matter what
we replace the variable with. As an example, consider 3x + 5 = 3x - 5. This equation has no solution. There is no value that will ever satisfy this type of
equation.

No Solution Equation Resources:

Videos:

Virtual Nerd - Video
Learn Zillion - Video
Khan Academy - Video
Khan Academy - Video
Text Lessons:

Purple Math - Text Lesson
Monterey Institute - Text Lesson
Worksheets:

Khan Academy - Practice
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