Chapter 7: Q14. (page 247)

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

Short Answer

Expert verified

The value of x is $- \frac{1}{3}$ .

Step by step solution

Step 1. Given information.

The ratio here given is,

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

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 $\frac{x + 3}{2} = \frac{4}{3}$ ,

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

Then,

$\begin{array}{l} 3 (x + 3) = 2 (4) \\ 3 x + 9 = 8 (Usingdistributiveproperty) \\ 3 x = 8 - 9 \\ 3 x = - 1 \end{array}$

Step 4. Divide both sides by 3.

$\begin{array}{l} \frac{3 x}{3} = - \frac{1}{3} \\ x = - \frac{1}{3} \end{array}$

Therefore, the value of x is $- \frac{1}{3}$ .

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

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 3.

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Find the value of x.x+32=43

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 3.

One App. One Place for Learning.

Most popular questions from this chapter

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