Question

True or False Some equations have no solution.

   True or False Some equations have no solution.

Algebra and Trigonometry

Algebra and Trigonometry

Michael Sullivan 11th Edition

Chapter 1, Problem 8

Instant Answer

Solved by Expert Ankit Gupta

04/17/2020

Step 1

An equation is a mathematical statement that asserts the equality of two expressions. Show more…

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True or False Some equations have no solution.

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Key Concepts

No Solution

Some equations have no solution when there is no possible value that can satisfy the equation. This situation, often referred to as an inconsistent equation, arises when the conditions imposed by the equation contradict each other, meaning no valid assignment to the variables can make the equation hold true.

Solution

A solution to an equation is a value or set of values that, when substituted into the equation, makes the equality true. Finding a solution involves determining these values such that both sides of the equation balance, which is central to solving many types of mathematical problems.

Equation

An equation is a mathematical statement asserting that two expressions are equal. It forms the basis for finding unknown quantities by establishing relationships between variables and constants, and can range from simple linear equations to complex polynomial or differential equations.

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