Question

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

Answer 1

x = -2

Explanation:

• 
  `(3x+5)/(2x+1) = (1)/(3)`

On cross multiplying,

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

Answer 2

`x=-2`

Explanation:

Given equation:

`(3x+5)/(2x+1)=\frac13`

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 (7x)/(7)=-(14)/(7)`

`\implies x=-2`