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kotegsom [21]
3 years ago
15

3(x-6)+3=4+x pls solve fully

Mathematics
2 answers:
fomenos3 years ago
7 0

Answer:

19/2

Step-by-step explanation:

3(x-6)+3=4+x

3x-18+3=4+x

2x-18+3=4

2x=19

x=19/2

3(\frac{19}{2}-6)+3=\frac{27}{2}  \\4+\frac{19}{2} =\frac{27}{2}

aev [14]3 years ago
3 0

Answer:

x = 9.5

Step-by-step explanation:

3( x - 6 ) + 3 = 4 + x

Do the distributive property (multiply what is in the parenthesis () by 3)

3 * x + 3 * -6 + 3 = 4 + x

3x - 18 + 3 = 4 + x

Combine Like terms ( the -18 and the 3)

3x - 15 = 4 + x

Subtract x on both sides

3x - x - 15 = 4 + x - x

2x - 15 = 4

Add 15 on both sides

2x - 15 + 15 = 4 + 15

2x = 19

Divide by 2 to isolate the variable "x"

2x/2 = 19/2

x = 9.5

Check

Use substitution, now that we have the value fo "x" ( 9.5) we can substitute that into the eqaution to see if we got it correct

3( x - 6 ) + 3 = 4 + x

3( 9.5 - 6 ) + 3 = 4 + 9.5

Distribute what is in the parenthesis by 3

3 * 9.5 + 3 * -6 + 3 = 4 + 9.5

28.5 - 18 + 3 = 4 + 9.5

10.5 + 3 = 4 + 9.5

13.5 = 4 + 9.5

13.5 = 13.5

CORRECT

Hope this helped!

Have a supercalifragilisitcexpialidocious day!

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4 0
3 years ago
a positive integer is twice another. The sum of the reciprocals of the two positive integers is frac 3/16, find the two integers
gizmo_the_mogwai [7]

Step-by-step explanation:

  • Let x be the smallest integer
  • Let 2x be the larger integer

As the sum of the reciprocals of the two positive integers is frac 3/16

So,

\frac{1}{x}\:+\:\frac{1}{2x}\:=\:\frac{3}{16}

\mathrm{Multiply\:by\:LCM=}16x

\frac{1}{x}\cdot \:16x+\frac{1}{2x}\cdot \:16x=\frac{3}{16}\cdot \:16x

Simplify

24=3x

\mathrm{Switch\:sides}

3x=24

\mathrm{Divide\:both\:sides\:by\:}3

\frac{3x}{3}=\frac{24}{3}

x=8

So,

2x=16

<h2>Verification:</h2>

\frac{1}{8}\:+\:\frac{1}{16}

\mathrm{Least\:Common\:Multiplier\:of\:}8,\:16:\quad 16

=\frac{2}{16}+\frac{1}{16}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{2+1}{16}

=\frac{3}{16}

Therefore,

\frac{1}{8}+\frac{1}{16}=\frac{3}{16}

Keywords:  word problem , integer

Learn more about solving integer word problem from brainly.com/question/10905225

#learnwithBrainly

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3 years ago
What property allows you to conclude that 5x+7x=12x
Andrei [34K]
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