Try the fastest way to create flashcards
Question

# Solve each equation below. $\frac{5 x+4}{3}=\frac{2 x+1}{5}$

Solution

Verified
Step 1
1 of 2

The solution of the given algebraic equation is described below.

\begin{align*} \dfrac{5x+4}{3}&=\dfrac{2x+1}{5}\tag{find the cross product}\\ 5(5x+4)&=3(2x+1)\\ 25x+20&=6x+3\tag{subtract 6x from both sides}\\ 25x+20-6x&=6x+3-6x\\ 19x+20&=3\tag{subtract 20 from both sides}\\ 19x+20-20&=3-20\\ 19x&=-17\tag{divide both sides by 19}\\ \dfrac{19x}{19}&=\dfrac{-17}{19}\\ x&=\dfrac{-17}{19} \end{align*}

## Recommended textbook solutions #### enVision Algebra 2

1st EditionISBN: 9780328931590 (1 more)Al Cuoco
3,573 solutions #### Big Ideas Math Algebra 2: A Common Core Curriculum

1st EditionISBN: 9781608408405 (2 more)Boswell, Larson
5,067 solutions #### Big Ideas Math: Algebra 2 A Common Core Curriculum

1st EditionISBN: 9781642088052Laurie Boswell, Ron Larson
5,067 solutions #### Algebra 2 Connections

8th EditionISBN: 9781931287784Brian Hoey, Deitiker, Judy Kysh, Tom Sallee
1,599 solutions