Question

Solve each equation and check the result. $$h-6.3=-10.8$$

   Solve each equation and check the result.
$$h-6.3=-10.8$$

Prealgebra

Alan S. Tussy, R.… 4th Edition

Chapter 5, Problem 50

Instant Answer

Solved by Expert Tiffany Tran

07/22/2020

Step 1

To do this, we add 6.3 to both sides of the equation. This gives us: \[h-6.3+6.3=-10.8+6.3\] Show more…

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Solve each equation and check the result. $$h-6.3=-10.8$$

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Key Concepts

Checking the Solution

After solving an equation, it is essential to verify that the solution satisfies the original equation. This is done by substituting the solution back into the equation to ensure that both sides yield the same result, confirming the correctness of the solution.

Addition Property of Equality

This property states that if the same quantity is added to (or subtracted from) both sides of an equation, the equality remains true. It is a fundamental principle used to maintain balance while performing algebraic manipulations to isolate the variable.

Isolating the Variable

This is the process of manipulating the equation so that the variable of interest is by itself on one side of the equation. It usually involves using inverse operations, like adding or subtracting the same number from both sides, which simplifies the process of finding the value of the variable.

Linear Equations

A linear equation is an algebraic equation in which variables appear to the first power and the graph of the equation is a straight line. The standard form of a simple linear equation is to have one variable on one side of the equation, making it straightforward to solve by isolating the variable.

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