Question

Solve and check each equation. $$x+9=11$$

   Solve and check each equation.
$$x+9=11$$

Basic Mathematical Skills with Geometry

Basic Mathematical Skills with Geometry

Stefan Baratto,… 8th Edition

Chapter 11, Problem 31

Instant Answer

Solved by Expert Susan Cooper

07/16/2020

Step 1

To isolate \(x\), we need to get rid of the \(9\) on the left side of the equation. We do this by subtracting \(9\) from both sides of the equation. This gives us: \[x + 9 - 9 = 11 - 9\] Show more…

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Solve and check each equation. $$x+9=11$$

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Key Concepts

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. Linear equations are of the first order, meaning that the highest power of the variable is one. They represent straight lines when graphed on a coordinate plane and can typically be solved by isolating the variable on one side of the equation.

Isolation of the Variable

This concept involves rearranging a linear equation to solve for the variable by performing inverse operations, such as adding, subtracting, multiplying, or dividing both sides of the equation by the same number. The goal is to manipulate the equation so that the variable stands alone on one side, allowing for a straightforward determination of its value.

Verification of Solutions

After solving a linear equation, it is important to substitute the solution back into the original equation to ensure that it satisfies the equation. Verification confirms the accuracy of the solution and helps catch any errors that may have occurred during the solving process.

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