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e-lub [12.9K]
3 years ago
7

X/6 + 2x/3 = 5 what is the value of x in the equation

Mathematics
1 answer:
ycow [4]3 years ago
5 0

The value of x is 6 in the equation.

Step-by-step explanation:

Given equation is;

\frac{x}{6}+\frac{2x}{3}=5

Taking least common multiple

\frac{x+4x}{6}=5

Multiplying both sides by 6

6*\frac{5x}{6}=5*6\\5x=30

Dividing both sides by 5

\frac{5x}{5}=\frac{30}{5}\\x=6

The value of x is 6 in the equation.

Keywords: linear equation, fraction

Learn more about linear equations at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

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Step-by-step explanation:

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We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:

We use the distance formula to find the distance between coordinates:

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√[(x-4)²+(y-1)²]  = 3√5
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The second equation must come from the equation of a line:
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Substitute y=5 and x=12 for point (12,5)
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So, the second equation is

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Solving the equations simultaneously:
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Answer:

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