Question

How u solve these I don’t get it :h

Answer 1

9514 1404 393

Answer:

x = 2

Explanation:

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

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

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Additional comment

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 on both sides of the equation. Here, we multiply both sides by 6x. 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.