5 less than twice a number is equal to one half the difference of three times the number and 13. Find the number.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

6 0

Answer:

The number will be $-3.$

Step-by-step explanation:

Let us assume the number as $x$ .

Given:

⇒ $5$ less than twice a number that will be $2x - 5$ , which is equal to half the difference of three times the number and 13

We have to find the number.

Solution:

The difference of three times the number and 13 could be represented as : $3x - 13$

The value be equal to $\frac{1}{2}$ of this $3x - 13$ ⇒ $\frac{1}{2} ( 3x - 13 )$

As we can see here,

That we got a equation ⇒ $2x - 5 = \frac{1}{2} ( 3x - 13 )$

Now, we can solve the above equation:

$2x - 5 = \frac{1}{2} ( 3x - 13 )$

We have multiply both sides by $2$ ⇒ $4x - 10 = 3x - 13$

then, ⇒ $x - 10 = -13$

⇒ $x = -3$

Hence we can say that number which was assumed as $x$ will be $-3.$

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Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. 37 x2 − 6x

Dvinal [7]

Answer:

$\dfrac{A}{x}+\dfrac{B}{x-6}$

Step-by-step explanation:

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