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2 years ago

Need help solving this proportion....x\4 = 5\7

Mathematics

2 answers:

expeople1 [14]2 years ago

5 0

$\frac{x}{4}= \frac{5}{7}$

$7*x=4*5$

$7x=20$

$x=2\frac{6}{20}$

$x=2\frac{3}{10}$

Orlov [11]2 years ago

5 0

$x/4=5/7 \\ 7x=4*5 \\ 7x=20 \\ x=20/7 \\ x=2+6/7$

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3 years ago

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natima [27]

Answer:

$\boxed{ \bold{ \boxed{ \sf{1. \: \: \: \: \: x = 12}}}}$

$\boxed{ \bold{ \boxed{ \sf{2. \: \: \: \: \: x = 3}}}}$

Step-by-step explanation:

$\sf{1. \: \: \: \: \frac{x}{3} + 2 = \frac{x}{4} + 3}$

Move x / 4 to left hand side and change its sign

Similarly, move 2 to right hand side and change it's sign

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Take the L.C.M of 3 and 4

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$\longrightarrow{ \sf{ \frac{x \times 4 - x \times 3}{12} = 3 - 2}}$

$\longrightarrow{ \sf{ \frac{4x - 3x}{12} = 3 - 2}}$

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Subtract 2 from 3

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Do cross multiplication

$\longrightarrow{ \sf{x = 1 \times 12}}$

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--------------------------------------------------------------------

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Distribute 3 through the parentheses

$\longrightarrow{ \sf{12 + 6x = 33 - x}}$

Move x to left hand side and change it's sign

Similarly, move 12 to right hand side and change it's sign

$\longrightarrow{ \sf{6x + x = 33 - 12}}$

Collect like terms

$\longrightarrow{ \sf{7x = 33 - 12}}$

Subtract 12 from 33

$\longrightarrow{ \sf{7x = 21}}$

Divide both sides by 7

$\longrightarrow{ \sf{ \frac{7x}{7} = \frac{21}{7} }}$

Calculate

$\longrightarrow{ \sf{x = 3}}$

Hope I helped!

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