Chapter 7: Q19. (page 247)

Find the value of x.
$\frac{7}{6 x - 4} = \frac{9}{4 x + 6}$

Short Answer

Expert verified

The value of x is3 .

Step by step solution

Step 1. Given information.

The ratio here given is,

$\frac{7}{6 x - 4} = \frac{9}{4 x + 6}$

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 $\frac{7}{6 x - 4} = \frac{9}{4 x + 6}$ ,

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

Then,

$\begin{array}{l} 7 (4 x + 6) = 9 (6 x - 4) \\ 28 x + 42 = 54 x - 36 (Usingdistributiveproperty) \\ 28 x - 54 x = - 36 - 42 \\ - 26 x = - 78 \end{array}$

Step 4. Divide both sides by -26.

$\begin{array}{l} \frac{- 26 x}{- 26} = \frac{- 78}{- 26} \\ x = 3 \end{array}$

Therefore, the value of x is 3.

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Find the value of x.
$\frac{7}{6 x - 4} = \frac{9}{4 x + 6}$

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 -26.

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Find the value of x.76x−4=94x+6

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 -26.

One App. One Place for Learning.

Most popular questions from this chapter

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Find the value of x.
$\frac{7}{6 x - 4} = \frac{9}{4 x + 6}$