Solve each equation. 56x−2x+43=53\frac{5}{6}x - 2x + \frac{4}{3} = \frac{5}{3} 65x−2x+34=35

Ch. 1 - Equations and Inequalities

Lial13th EditionCollege AlgebraISBN: 9780136881063당신이 사용하는 게 아니라요?교과서 변경

모든 교과서

Lial 13th Edition

Ch. 1 - Equations and Inequalities

문제 15

2장, 문제 15

Solve each equation. $\frac{5}{6}\)x - 2x + $\frac{4}{3}$ = \(\frac{5}{3}$

검증된 단계별 안내

Start by rewriting the equation clearly: $\frac{5}{6}x - 2x + \frac{4}{3} = \frac{5}{3}$.

Combine the like terms involving $x$ on the left side. To do this, express $-2x$ as a fraction with denominator 6: $-2x = -\frac{12}{6}x$. Then combine $\frac{5}{6}x - \frac{12}{6}x$.

Simplify the combined $x$ terms to get a single fraction coefficient times $x$. The equation now looks like $\left(\frac{5}{6} - \frac{12}{6}\right)x + \frac{4}{3} = \frac{5}{3}$.

Isolate the $x$ term by subtracting $\frac{4}{3}$ from both sides: $\left(\frac{5}{6} - \frac{12}{6}\right)x = \frac{5}{3} - \frac{4}{3}$.

Simplify the right side and then solve for $x$ by dividing both sides by the coefficient of $x$. This will give you the solution for $x$.

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.

Solving Linear Equations

Solving linear equations involves finding the value of the variable that makes the equation true. This typically requires isolating the variable on one side by performing inverse operations such as addition, subtraction, multiplication, or division.

Combining Like Terms

Combining like terms means adding or subtracting terms that have the same variable raised to the same power. This simplifies the equation and makes it easier to solve by reducing the number of terms.

Working with Fractions in Equations

When solving equations with fractions, it is important to find a common denominator or multiply through by the least common denominator to eliminate fractions. This simplifies calculations and helps isolate the variable more efficiently.

Solve each equation. 56x−2x+43=53\(\frac{5}{6}\)x - 2x + \(\frac{4}{3}\) = \(\frac{5}{3}\) 65x−2x+34=35

비슷한 문제에 대한 검증된 영상 답변:

주요 개념

Solving Linear Equations

Combining Like Terms

Working with Fractions in Equations

Solve each equation. $\frac{5}{6}\)x - 2x + \(\frac{4}{3}\) = \(\frac{5}{3}$