Solve and check each linear equation. 3(x - 1) = 21

검증된 단계별 안내

Distribute the 3 on the left-hand side of the equation to eliminate the parentheses. This means multiplying 3 by each term inside the parentheses:

3(x - 1) = 3x - 3

. The equation becomes

3x - 3 = 21

Add 3 to both sides of the equation to isolate the term with the variable on one side. This gives:

3x - 3 + 3 = 21 + 3

, simplifying to

3x = 24

Divide both sides of the equation by 3 to solve for

x

. This gives:

x = \(\frac{24}{3}\)

Simplify the fraction

\(\frac{24}{3}\)

to find the value of

x

. This step completes the solution for

x

Check your solution by substituting the value of

x

back into the original equation

3(x - 1) = 21

. Verify that both sides of the equation are equal.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Linear Equations

A linear equation is an algebraic expression that represents a straight line when graphed. It typically takes the form ax + b = c, where a, b, and c are constants, and x is the variable. Solving a linear equation involves isolating the variable to find its value, which satisfies the equation.

Distributive Property

The distributive property states that a(b + c) = ab + ac. This property is essential for simplifying expressions where a term is multiplied by a sum or difference. In the context of the given equation, applying the distributive property allows us to eliminate parentheses and simplify the equation for easier solving.

Checking Solutions

Checking solutions involves substituting the found value of the variable back into the original equation to verify its correctness. This step ensures that the solution satisfies the equation, confirming that no errors were made during the solving process. It is a crucial part of solving linear equations to ensure accuracy.