Question

Solve and check each equation. $$0.2 x+0.4=3.6$$

   Solve and check each equation.
$$0.2 x+0.4=3.6$$

Essentials of Precalculus

Essentials of Precalculus

Richard N. Aufmann,… 1st Edition

Chapter 1, Problem 11

Instant Answer

Solved by Expert Julie Silva

07/09/2021

Step 1

This gives us: \[10 \times (0.2x + 0.4) = 10 \times 3.6\] which simplifies to: \[2x + 4 = 36\] Show more…

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Solve and check each equation. $$0.2 x+0.4=3.6$$

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Key Concepts

Operations with Decimals

Operations with decimals involve arithmetic calculations that include fractional parts. Mastery of adding, subtracting, multiplying, and dividing decimals is critical when solving real-world equations that include decimal coefficients.

Checking Solutions

Checking solutions involves substituting the found value back into the original equation to confirm that the equality holds. This step ensures that no mistakes were made during the solution process and that the answer is valid.

Linear Equations

Linear equations are equations where the highest power of the variable is one. They represent straight-line relationships when graphed and can be solved using a systematic approach to isolate the variable.

Properties of Equality

Properties of equality state that performing the same operation on both sides of an equation preserves equality. This principle is essential for isolating variables and simplifying equations step by step.

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