Question

2x + 5 / 2x + 1 = 1/3​

Answer 1

Step-by-step explanation:

Your question:

$★ \: \: \: \frac{2x + 5}{2x + 1} = \frac{1}{3}$

Your answer:

$\color{aqua}{ \frac{2x + 5}{2x + 1} = \frac{1}{3} }$

[ cross multiply the equation ]

$1(2x + 1) = 3(2x + 5)$

[ now multiply the whole inside the parentheses]

$2x + 1 = 6x + 15$

[ transport variables and numerals to one side to separate them ]

$2x - 6x = 15 - 1$

[ now, do the mathematical functions ]

$- 4x = 14$

[ transport -4 to RHS ]

$x = \frac{ - 14}{4}$

[ divide it by 2 ]

$x = \frac{ - 7}{2}$

Your final answer:

$\colorbox{lime}{ } \frac{ - 7}{2}$

Answer 2

Answer:

x=  $\frac{-7}{2}$

Step-by-step explanation:

$\frac{2x+5}{2x+1} = \frac{1}{3}$

Cross multiplying,

3(2x+5) = 1(2x+1)

3(2x)+3(5) = 1(2x)+1(1)

6x+15=2x+1

4x=-14

2x= -7

x=  $\frac{-7}{2}$

HOPE IT HELPS! HAVE A GOOD DAY AHEAD!