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Serjik [45]
3 years ago
5

How u solve these I don’t get it :h

Mathematics
1 answer:
Nataliya [291]3 years ago
7 0

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

As you have indicated, you want to multiply both sides of the equation by 6x.

  \dfrac{1}{x}=\dfrac{1}{6}+\dfrac{1}{3}\qquad\text{given}\\\\\left(\dfrac{1}{x}\right)\cdot6x=\left(\dfrac{1}{6}+\dfrac{1}{3}\right)\cdot6x\qquad\text{multiply by 6x}\\\\6=x+2x\qquad\text{simplify}\\\\6 = 3x\qquad\text{collect terms}\\\\\dfrac{6}{3}=x\qquad\text{divide by the coefficient of $x$}\\\\\boxed{x=2}

_____

<em>Additional comment</em>

The denominator on the left is x. The least common denominator on the right is 6. To clear fractions, you can multiply by the product of these values: 6x. Doing this gave us the one-step linear equation 6 = 3x.

As with any operation performed on an equation, the operation must be performed <em>on both sides of the equation</em>. Here, we <em>multiply both sides by 6x</em>. It is a bit unconventional and confusing to show that multiplication as you have shown it in your figure. Usually, it would be shown as in the 2nd line of the solution, above.

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defon

There are 187 nickels and 66 dimes in the jar.

Step-by-step explanation:

Given,

Total coins = 253

Value of coins = $15.95 = 15.95*100 = 1595 cents

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According to given statement;

x+y=253     Eqn 1

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Multiplying Eqn 1 by 5

5(x+y=253)\\5x+5y=1265\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(5x+10y)-(5x+5y)=1595-1265\\5x+10y-5x-5y=330\\5y=330

Dividing both sides by 5

\frac{5y}{5}=\frac{330}{5}\\y=66

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Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/12905000
  • brainly.com/question/12918501

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We are given that Jessica is measuring two line segments.

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