Solve and check. -(3)/(5) m=12

Name: Problem 78, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-06-21T16:37:46-08:00
Duration: 1 min 48 s
Channel: Ethan Somes
Description: Solve and check. -(3)/(5) m=12

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Key Concepts

Properties of Equality

The properties of equality allow for the same operations to be performed on both sides of an equation without changing the equality. This principle enables the simplification and manipulation of equations, such as multiplying or dividing both sides by the same non-zero value to isolate the variable.

Linear Equations

Linear equations are equations where the highest power of the variable is one, and they typically take the form ax + b = c. Solving these equations involves isolating the variable using arithmetic operations, resulting in a solution that represents the point where two expressions balance each other.

Inverse Operations

Inverse operations are used to cancel out operations on the variable. For instance, if a variable is multiplied by a fraction, multiplying both sides by the reciprocal of that fraction can isolate the variable. This technique is essential for solving equations involving fractions or other operations that need to be undone.

Checking Solutions

Checking solutions involves substituting the computed value back into the original equation to verify that the equality holds true. This step confirms that no errors were made during the solving process and that the solution is valid.

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