Question

Solve each equation for $y$. $5 x-3 y=12$

   Solve each equation for $y$.
$5 x-3 y=12$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Margaret L. Lial ,… 5th Edition

Chapter 8, Problem 56

Instant Answer

Solved by Expert James Kiss

07/12/2020

Step 1

We can do this by subtracting $5x$ from both sides of the equation. This gives us: \[ -3y = -5x + 12 \] Show more…

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Solve each equation for $y$. $5 x-3 y=12$

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Key Concepts

Linear Equations

Linear equations are expressions in which variables are not raised to any power higher than one. They represent straight lines when graphed and form the foundation of algebraic problem solving, as they involve methods that are widely applicable to more complex equations.

Isolating the Variable

Isolating the variable involves rearranging an equation so that the variable of interest appears on one side of the equation by itself. This is typically achieved by reversing operations applied to the variable, ensuring the equation remains balanced.

Inverse Operations

Inverse operations are used to undo mathematical operations, such as using division to cancel multiplication or using addition to cancel subtraction. This concept is essential when solving equations as it allows the variable to be isolated systematically.

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