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4 years ago

7

The perimeter of a rectangle is 34 centimeters.the length is two more than twice the width. Write and solve a system of liner eq

uations to find the length and the width of the rectangle

1 answer:

lisov135 [29]4 years ago

5 0

Answer:

5 cm. =

12 cm. =

Step-by-step explanation:

{ = 2 + 2

{34 = 2 + 2

34 = 2 + 2[2 + 2] ↷

34 = 2 + 4 + 4

34 = 4 + 6

- 4 -4

-------------

30 = 6

5 = [plug this back into the system of equations to get a length of 12 centimetres]

I am joyous to assist you anytime.

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Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation.<span> A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. </span><span>Whatever we do to one side, has to be done on the opposite side.</span>

$9|4p + 2| + 8 = 35$

$
9|4p+2|=35-8
 
$ $Subtract \ 8 \ from \ both \ sides$

$9|4p+2|=27

 
$

$|4p+2|= \dfrac{27}{9}$ $Divide \ both \ sides \ by \ 9$

$|4p+2|=3$

$Break \ down \ the \ problem \ into \ these \ 2 \ equations$

$
4p+2=3
 
$

$-(4p+2)=3$

$Solve \ the \ 1st \ equation: \ 4p+2=3$

$4p=3-2$   <span> $Subtract \ 2 \ from \ both \ sides$
</span>
$4p=1$

$p= \dfrac{1}{4}$   <span> $Divide \ both \ sides \ by \ 4$
</span>
$Solve \ the \ 2nd \ equation: \ -(4p+2)=3$

$-4p−2=3$    $Simplify \ brackets$

$-4p=3+2$ <span> $Add \ 2 \ to \ both \ sides$
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$-4p=5$

$p= -\dfrac{5}{4}$

$Collect \ all \ solutions$

$p= -\dfrac{5}{4}$ , $p= \dfrac{1}{4}$

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