Question

Find the solution of 3x+5/2x+1 = 1/3

Answer 1

Answer:

x = -2

Step-by-step explanation:

• $\frac{3x+5}{2x+1} = \frac{1}{3}$

On cross multiplying,

• 3(3x + 5) = 1(2x + 1)
• 9x + 15 = 2x + 1
• 7x = -14
• x = -2

Answer 2

Answer:

$x=-2$

Step-by-step explanation:

Given equation:

$\dfrac{3x+5}{2x+1}=\dfrac13$

Cross multiply:

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

Expand brackets:

$\implies 9x+15=2x+1$

Subtract $2x$ from both sides:

$\implies 9x+15-2x=2x+1-2x$

$\implies 7x+15=1$

Subtract 15 from both sides:

$\implies 7x+15-15=1-15$

$\implies 7x=-14$

Divide both sides by 7:

$\implies \dfrac{7x}{7}=-\dfrac{14}{7}$

$\implies x=-2$