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3 years ago

Solve 5n+7=7(n+l)-2n

Mathematics

1 answer:

notsponge [240]3 years ago

7 0

Answer: The answer is 1 =n and my work is in the bottom and hope this help :)

Step-by-step explanation:

5n+7=7(n+l)-2n distributive property

5n+7=7n+7-2n Combines Like Term

5n+7= 12n subtract 5n to both side

-5n -5n

7 = 7n divide 7n to both side

7 7

1=n

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Given :

The Perimeter of the rectangle is 60 cm
The ratio of the length to the width is 3:2.

To Find :

The Length and width of the rectangle .

⠀

Solution :

We know that,

$\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}$

Let's assume the length of the rectangle as 3x inches. and the width is 2x inches.

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Now, Substituting the given values in the formula :

$\qquad \dashrightarrow{ \sf{2(3x + 2x )= 60}}$

$\qquad \dashrightarrow{ \sf{2(6x)= 60}}$

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$\qquad \dashrightarrow{ \sf{x= \dfrac{60}{12} }}$

$\qquad \dashrightarrow{ \bf{x= 5}}$

Therefore,

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$\qquad { \pmb{ \bf{ Width _{(rectangle)} = 2x = 2(5) = 10 \: inches}}}\:$

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3 years ago

Solve 5n+7=7(n+l)-2n ​

Solve 5n+7=7(n+l)-2n