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3 years ago

How to solve 6x - 9 - 2 (1 - x) = x + 9

Mathematics

1 answer:

Likurg_2 [28]3 years ago

7 0

$x = 2.857$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢ x = \frac{20}{7} \\ ⇢ x = 2.857$

${ \bf{ \underbrace{To\:verify:}}}$

$6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times( - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\ ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S$

Hence verified.

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}$

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3 years ago

A is inversely proportional to b. If a=7.2 when b=-4, what will a equal when b=6?

Tpy6a [65]

Answer:

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

$a \: \: \alpha \: \: \frac{k}{b}$

where k is the constant of proportionality

When a = 7.2 , b = -4

So we have

$7.2= \frac{k}{ - 4}$

k = 7.2 × - 4

k = - 28.8

So the formula for the variation is

$a = - \frac{28.8}{b}$

When

b = 6

That's

$a = - \frac{28.8}{6}$

We have the final answer as

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3 years ago

How to solve 6x - 9 - 2 (1 - x) = x + 9​

How to solve 6x - 9 - 2 (1 - x) = x + 9