Mathematics: Solve each proportion

Solve each proportion - id14083516, kassandrarosario1115

Ответ:

twirlergirl800

17.09.2021

Mathematics

$\boxed{\underline{\bf \: Answer}}$

$\sf \frac{11}{b + 1} = \frac{6}{b + 1} \\$

Multiply both sides of the equation by $\left(b-1\right)\left(b+1\right)$ , the least common multiple of b-1,b+1.

$\sf\left(b+1\right)\times 11=\left(b-1\right)\times 6$

Use the distributive property to multiply b+1 by 11.

$\sf11b+11=\left(b-1\right)\times 6$

Subtract 6b from both sides.

$\sf11b+11-6b=-6$

Combine 11b and -6b to get 5b.

$\sf5b+11=-6$

Subtract 11 from both sides.

$\sf5b=-6-11$

Subtract 11 from -6 to get -17.

$\sf5b=-17$

Divide both sides by 5.

$\sf \: b=\bf\frac{-17}{5}$

=> The correct answer is $\bf \: b=\frac{-17}{5}$ or $\bf \: b= -3.4$ (✓).

__________

Hope it helps.

RainbowSalt2222

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Ответ:

egirl31

17.09.2021

Mathematics

$\frac{11}{b - 1} = \frac{6}{b + 1} \\ 11(b + 1) = (b - 1).6 \\ 11b + 11 = 6b - 6 \\ 11b + 11 - 11 = 6b - 6 - 11 \\ 11b - 6b = 6b - 17 - 6b \\ 5b = - 17 \\ \frac{5b}{5} = \frac{ - 17}{5} \\ b = \frac{ - 17}{5} \\ b = - 3.4$

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Ответ:

truesarah111

01.02.2023

Mathematics

-1

Step-by-step explanation:

$y = 14 - 0.5x \\ plug \: x = 30 \\ y = 14 - 0.5 \times 30 \\ y = 14 - 15 \\ y = - 1$

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Solve each proportion

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