Question

Solve and check. $$\frac{5}{8}+y=\frac{1}{8}$$

   Solve and check.
$$\frac{5}{8}+y=\frac{1}{8}$$

Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 5, Problem 53

Instant Answer

Solved by Expert Ethan Somes

06/21/2020

Step 1

We want to isolate $y$, so we subtract $\frac{5}{8}$ from both sides of the equation. This gives us: $$y=\frac{1}{8}-\frac{5}{8}$$ Show more…

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Solve and check. $$\frac{5}{8}+y=\frac{1}{8}$$

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Key Concepts

Solution Verification

Solution verification involves substituting the found value back into the original equation to ensure it satisfies the equality. This step is crucial in confirming that the computed solution is correct and that no errors were made during the solving process.

Linear Equations

Linear equations involve variables raised to the first power and are solved by finding the value that makes the equality true. Solving these equations typically involves isolating the variable on one side using inverse operations.

Inverse Operations

Inverse operations are mathematical procedures that reverse the effect of another operation. In solving linear equations, inverse operations such as subtracting or adding the same number to both sides help isolate the variable.

Operations with Fractions

Operations with fractions require finding a common denominator and ensuring the arithmetic is correctly applied. This is necessary when the equation includes fractional coefficients or constants, as it helps maintain the balance of the equation.

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