Question

Solve and check each equation. $$7 c+4=18$$

   Solve and check each equation. $$7 c+4=18$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Sherri Messersmith 2nd Edition

Chapter 3, Problem 47

Instant Answer

Solved by Expert Raushan Kumar

09/16/2020

Step 1

We can do this by subtracting 4 from both sides of the equation. This gives us: $$7c + 4 - 4 = 18 - 4$$ which simplifies to: $$7c = 14$$ Show more…

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Solve and check each equation. $$7 c+4=18$$

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Key Concepts

Inverse Operations

Inverse operations, such as subtraction to undo addition or division to undo multiplication, are used to isolate the variable when solving an equation. Recognizing and applying these operations systematically allows one to maintain balance in the equation while simplifying it.

Solution Verification

Solution verification involves substituting the obtained value back into the original equation to check if both sides become equal. This step ensures the accuracy of the solution and confirms that no arithmetic or conceptual mistakes were made during the solving process.

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. Understanding linear equations is fundamental in algebra as it involves finding the value of the variable that makes the equation true.

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