Question

Solve each equation, if possible. $$ 1-\frac{1}{2} x=6 $$

   Solve each equation, if possible.
$$
1-\frac{1}{2} x=6
$$

Algebra and Trigonometry

Algebra and Trigonometry

Michael Sullivan 11th Edition

Chapter 1, Problem 34

Instant Answer

Solved by Expert Prashansha Kaushik

04/02/2021

Step 1

Step 1: First, we rewrite the given equation as follows: $$ 1-\frac{1}{2} x=6 $$ Show more…

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Solve each equation, if possible. $$ 1-\frac{1}{2} x=6 $$

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Key Concepts

Isolating the Variable

Isolating the variable involves rearranging the equation so that the variable of interest is on one side of the equation by itself. This process typically uses inverse operations such as addition, subtraction, multiplication, and division to move all other terms to the opposite side.

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 raised to the first power. The goal when solving a linear equation is to find the value of the variable that makes the equation true.

Working with Fractions

When an equation includes fractions, a common strategy is to eliminate the fractions by multiplying both sides of the equation by the denominator or converting fractional coefficients to simpler forms. This simplifies the equation and makes it easier to isolate and solve for the variable.

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