step 1 Okay, this time they give us the following equation. 11 plus 3y is equal to 5y minus 5. And what

11+3 y=5 y-5 | Numerade

Name: Problem 10, Chapter 1: College Algebra
Uploaded: 2020-06-19T22:33:00-08:00
Duration: 37 s
Channel: Ernest Castorena
Description: 11+3 y=5 y-5

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Key Concepts

Properties of Equality

The properties of equality state that performing the same operation on both sides of an equation does not change the equality's truth. This principle is fundamental in algebra, ensuring that when we manipulate an equation, the solution remains valid.

Isolating the Variable

Isolating the variable means rearranging the equation to get the unknown variable on one side and the constants on the other. This often involves adding, subtracting, multiplying, or dividing both sides of the equation by the same number, which is based on the properties of equality.

Combining Like Terms

Combining like terms is the process of simplifying an equation by merging terms that have identical variable parts. This is done to reduce the equation to a simpler form, which makes it easier to isolate the variable and solve the equation.

Linear Equations

A linear equation is an algebraic equation in one variable where the variable is raised only to the first power. It typically takes the form ax + b = cx + d and represents a straight line when graphed. The goal in solving a linear equation is to find the value of the variable that makes the equation true.

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