Solve the following- 8 -x- 5-x-1

Step 1:Apply cross multiplication8 /x= 5/x 18 × (x – 1) = 5 × x 0ex0ex⇒ 8x – 8 = 5xStep 2: Rearrange the terms and combine the like terms.⇒ 8x – 5x = 8 0ex0e ...

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Standard VI

Mathematics

Uses of Ratios and Proportions

Solve the fol...

Question

Solve the following:
$\frac{8}{x} = \frac{5}{x - 1}$

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Solution

Step 1:Apply cross multiplication
$\frac{8}{x} = \frac{5}{x - 1}$
$8 \times (x - 1) = 5 \times x \Rightarrow 8 x - 8 = 5 x$
Step 2: Rearrange the terms and combine the like terms.
$\Rightarrow 8 x - 5 x = 8 \Rightarrow 3 x = 8 \Rightarrow x = \frac{8}{3}$
Hence, the value of $x$ is $\frac{8}{3}$

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Solve the following: 8x=5x-1

Step 1:Apply cross multiplication8x=5x-18×(x–1)=5×x⇒8x–8=5xStep 2: Rearrange the terms and combine the like terms.⇒8x–5x=8⇒3x=8⇒x=83Hence, the value of x is 83

Solve the following:
$\frac{8}{x} = \frac{5}{x - 1}$

Step 1:Apply cross multiplication
$\frac{8}{x} = \frac{5}{x - 1}$
$8 \times (x - 1) = 5 \times x \Rightarrow 8 x - 8 = 5 x$
Step 2: Rearrange the terms and combine the like terms.
$\Rightarrow 8 x - 5 x = 8 \Rightarrow 3 x = 8 \Rightarrow x = \frac{8}{3}$
Hence, the value of $x$ is $\frac{8}{3}$