Question

Solve each equation, and check your solution. $$ -7 w-4=10 $$

   Solve each equation, and check your solution.
$$
-7 w-4=10
$$

Beginning Algebra

Beginning Algebra

Margaret L. Lial,… 11th Edition

Chapter 2, Problem 12

Instant Answer

Solved by Expert Ali Soave

06/18/2020

Step 1

We can do this by adding 4 to both sides of the equation: $$-7w - 4 + 4 = 10 + 4$$ This simplifies to: $$-7w = 14$$ Show more…

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Solve each equation, and check your solution. $$ -7 w-4=10 $$

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Key Concepts

Linear Equations

Linear equations are algebraic expressions involving variables raised only to the first power. They model relationships where changes in one variable produce proportional changes in another, and the standard form typically combines terms and constants which can be manipulated to isolate the variable.

Inverse Operations

Inverse operations are techniques used to reverse the effect of a given arithmetic operation. In solving linear equations, subtraction and division are commonly used to undo addition and multiplication, respectively, allowing for the isolation of the variable to find its value.

Checking Solutions

Checking solutions involves substituting the found value back into the original equation to verify that both sides of the equation are equal. This step is crucial for confirming that the solution is correct and that no errors have been made during the solving process.

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