Question

Solve each equation. Check your answer. $$ 7=\frac{x-8}{3} $$

   Solve each equation. Check your answer.
$$
7=\frac{x-8}{3}
$$

Algebra 1 Common Core

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 2, Problem 27

Instant Answer

Solved by Expert Robert Leedy

04/05/2020

Step 1

This gives us: $$ 7 \times 3 = \frac{x-8}{3} \times 3 $$ which simplifies to: $$ 21 = x - 8 $$ Show more…

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Solve each equation. Check your answer. $$ 7=\frac{x-8}{3} $$

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Key Concepts

Solution Verification

Verifying a solution involves substituting the found value back into the original equation to ensure that it satisfies the equation. This step is important to confirm the correctness of the solution and to detect any algebraic errors that may have occurred during manipulation.

Linear Equations

Linear equations involve finding the value of a variable that makes the equation true. They typically take a form where the variable is to the first power and appear as a balance between two expressions, which can be manipulated to isolate the variable.

Properties of Equality

The properties of equality allow you to perform the same operation, such as addition, subtraction, multiplication, or division, on both sides of an equation without changing its truth. This is fundamental for transforming an equation while maintaining the balance, ultimately isolating the variable.

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