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marziel24

marziel24

09.02.2021 •

Mathematics

Solve each equation and check your solution.
3x – 6 = 4(2 – 3x) – 8x2+6 = 3 (+6)9 – 7w = 8w +8

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Ответ:

Herbie3070

11.03.2021

1. 3x – 6 = 4(2 – 3x)

Ans: $x=\frac{14}{15}$

step-by-step:

$\mathrm{Add\:}6\mathrm{\:to\:both\:sides}$

3x-6+6=8-12x+6

$\mathrm{Simplify}$

3x=-12x+14

$\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}$

Simplify

15x=14

$\mathrm{Divide\:both\:sides\:by\:}15$

$\frac{15x}{15}=\frac{14}{15}$

$\mathrm{Simplify}$

$x=\frac{14}{15}$

2. – 8x2+6 = 3

ans: $x=\frac{3}{16}$

step-by-step

$\mathrm{Multiply\:the\:numbers:}\:8\cdot \:2=16$

-16x+6=3

$\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}$

-16x+6-6=3-6

$\mathrm{Simplify}$

-16x=-3

$\mathrm{Divide\:both\:sides\:by\:}-16$

$\frac{-16x}{-16}=\frac{-3}{-16}$

$\mathrm{Simplify}$

$x=\frac{3}{16}$

3. (+6)9 – 7w = 8w +8

ans: $w=\frac{46}{15}$

step-by-step

$\mathrm{Remove\:parentheses}:$

$6\cdot \:9-7w=8w+8$

$\mathrm{Multiply\:the\:numbers:}$

54-7w=8w+8

$\mathrm{Subtract\:}54\mathrm{\:from\:both\:sides}$

54-7w-54=8w+8-54

Simplify

-7w=8w-46

$\mathrm{Subtract\:}8w\mathrm{\:from\:both\:sides}$

-7w-8w=8w-46-8w

$\mathrm{Simplify}$

-15w=-46

$\mathrm{Divide\:both\:sides\:by\:}-15$

$\frac{-15w}{-15}=\frac{-46}{-15}$

Simplify

$w=\frac{46}{15}$

Hope this helps!

-Elijah

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Ответ:

kevin1015wangoudf1t

07.05.2021

12

Step-by-step explanation:

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