Question

Solve and check each equation. $$x+5=2$$

   Solve and check each equation.
$$x+5=2$$

Basic Mathematical Skills with Geometry

Basic Mathematical Skills with Geometry

Stefan Baratto,… 8th Edition

Chapter 11, Problem 36

Instant Answer

Solved by Expert Susan Cooper

07/16/2020

Step 1

To isolate $x$, we need to undo the addition of 5. We do this by subtracting 5 from both sides of the equation. This gives us: \[x+5-5=2-5\] Show more…

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Solve and check each equation. $$x+5=2$$

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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. The equation can be solved by finding the value of the variable that makes the equation true, and it represents a straight line when graphed on a coordinate plane.

Isolation of the Variable

This technique involves manipulating the equation to get the variable by itself on one side of the equation. By isolating the variable, you can determine its numerical value, which is the solution to the equation.

Inverse Operations

Inverse operations are operations that reverse the effect of another operation. In the context of solving equations, inverse operations are used to undo addition, subtraction, multiplication, or division, allowing you to simplify the equation and solve for the variable.

Solution Verification

Once a solution is obtained, it is important to substitute the value back into the original equation to verify that it satisfies the equation. This step ensures that no arithmetic mistakes were made during the process and that the solution is correct.

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