Solve the equation. x+5=10

Name: Problem 22, Chapter 3: Algebra 1
Uploaded: 2020-09-21T21:04:27-08:00
Duration: 27 s
Channel: Olivia Demers
Description: Solve the equation. x+5=10

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Key Concepts

Balancing the Equation

Balancing the equation means performing the same operation on both sides of the equation to maintain its equality. This principle is fundamental in algebra as it ensures that the equation's integrity is preserved while manipulating and solving it.

Inverse Operations

Inverse operations are operations that 'undo' each other, such as addition and subtraction or multiplication and division. They are crucial for solving equations because they allow for the systematic removal of terms attached to the variable, making it possible to isolate and subsequently solve for that variable.

Linear Equation

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a variable raised to the power of one. Such equations can be represented graphically by a straight line and generally have a unique solution for the variable when they are well-defined.

Isolating the Variable

Isolating the variable involves rearranging the equation to have the unknown variable on one side of the equation and the constants on the other. This is typically achieved by performing inverse operations, allowing one to directly determine the value of the variable.

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