Solve each equation, and check your solution. See Example 7 . (1)/(3) x-(1)/(4) x+(1)/(12) x=3

Name: Problem 69, Chapter 2: Beginning Algebra
Uploaded: 2020-06-19T18:44:12-08:00
Duration: 1 min 28 s
Channel: Trinity Steen
Description: Solve each equation, and check your solution. See Example 7 . (1)/(3) x-(1)/(4) x+(1)/(12) x=3

step 1 So for number 69, we have one -third x minus one -fourth -x plus one -twenth -x equals three. An

Solve each equation, and check your solution. See Example 7...

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Key Concepts

Linear Equations

A linear equation in one variable is an equation that involves a single variable raised to the first power, and it can be written in the form ax + b = c. Solving such equations involves isolating the variable through basic algebraic operations such as addition, subtraction, multiplication, and division.

Combining Like Terms

Combining like terms means adding or subtracting terms that have the same variable raised to the same power. In equations, this helps to simplify an expression, making it easier to solve by reducing the number of terms.

Common Denominator

When dealing with fractions, a common denominator is used to combine terms that have different denominators. Finding a least common denominator allows the addition or subtraction of fractional coefficients, which is essential for simplifying the equation.

Clearing Fractions

Clearing fractions involves multiplying both sides of an equation by the least common denominator to eliminate fractional expressions. This step simplifies the equation into a form that is easier to solve.

Verification of the Solution

Verifying the solution means substituting the obtained value back into the original equation to ensure that it satisfies the equation. This step confirms the correctness of the solution and helps to identify any errors made during the solving process.

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