Question

Solve. Solve for $y: x=2 y-13 y$.

   Solve.
Solve for $y: x=2 y-13 y$.

Elementary Algebra

Elementary Algebra

John Redden 1st Edition

Chapter 7, Problem 68

Instant Answer

Solved by Expert Brittany Stefanilo

02/10/2022

Step 1

This gives us: \[x = y(2 - 13)\] Show more…

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Solve. Solve for $y: x=2 y-13 y$.

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Key Concepts

Combining Like Terms

Combining like terms is the process of simplifying algebraic expressions by merging terms that have the same variable part. This technique reduces the complexity of an expression and is an essential step in solving equations.

Linear Equations

A linear equation is an algebraic statement in which each term is either a constant or the product of a constant and a single variable. Solving linear equations generally involves isolating the variable to determine its value, using operations such as addition, subtraction, multiplication, and division.

Isolating the Variable

Isolating the variable involves rearranging an equation so that the variable of interest is on one side of the equation, and all constants are on the other. This step-by-step process is crucial in algebra to find explicit expressions for unknown variables.

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