Chapter 7: Q16. (page 247)

Find the value of x.
$\frac{2 x + 1}{4 x - 1} = \frac{2}{3}$

Short Answer

Expert verified

The value of x is $\frac{5}{2}$ .

Step by step solution

Step 1. Given information.

The ratio here given is,

$\frac{2 x + 1}{4 x - 1} = \frac{2}{3}$

Step 2. Concept and Formula Used.

The properties of proportion,

if $\frac{a}{b} = \frac{c}{d}$ then, $a d = b c$

The given ratio is $\frac{2 x + 1}{4 x - 1} = \frac{2}{3}$ ,

Step 3. Use the property of proportion, if ab=cd then, ad=bc.

Then,

$\begin{array}{l} 3 (2 x + 1) = 2 (4 x - 1) \\ 6 x + 3 = 8 x - 2 (Usingdistributiveproperty) \\ 6 x - 8 x = - 2 - 3 \\ - 2 x = - 5 \end{array}$

Step 4. Divide both sides by -2.

$\begin{array}{l} \frac{- 2 x}{- 2} = \frac{- 5}{- 2} \\ x = \frac{5}{2} \end{array}$

Therefore, the value of x is $\frac{5}{2}$ .

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Find the value of x.
$\frac{2 x + 1}{4 x - 1} = \frac{2}{3}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept and Formula Used.

Step 3. Use the property of proportion, if ab=cd then, ad=bc.

Step 4. Divide both sides by -2.

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Find the value of x.2x+14x−1=23

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept and Formula Used.

Step 3. Use the property of proportion, if ab=cd then, ad=bc.

Step 4. Divide both sides by -2.

One App. One Place for Learning.

Most popular questions from this chapter

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Find the value of x.
$\frac{2 x + 1}{4 x - 1} = \frac{2}{3}$