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3 years ago

When the distributive property is used to solve the equation 3[x+5]=5x-7, what could the next step be?

Mathematics

1 answer:

Marat540 [252]3 years ago

8 0

Answer:

x = 11

Step-by-step explanation:

The given expression is :

3[x+5]=5x-7

The distributive property is :

a(b+c) = ab+ac

Using the above property on LHS

3[x+5] = 3x + 3(5)

= 3x + 15

So,

3x+15 = 5x-7

Arranging like terms,

15+7 = 5x -3x

22 = 2x

x = 11

So, the value of x is 11.

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3 years ago

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3 years ago

Please help!! I will give brainliest thank you!!

mamaluj [8]

$\bold{\huge{\red{\underline{Solution}}}}$

$\bold{\underline{ Given :- }}$

We have given two figures that rectangle and parallelogram
The base and height of parallelogram is 7ft and 5ft
The length and breath of rectangle is 3ft and 1ft .

$\bold{\underline{ To \: Find :- }}$

We have to find the area of shaded part?

$\bold{\underline{ Let's \: Begin :- }}$

Firstly, we will calculate the area of parallelogram then area of rectangle after that we will subtract the area of rectangle from the area of parallelogram then we got the area of shaded part.

$\sf{\pink{Area \:of\: parallelogram = Base * height }}$

$\sf { = 7 × 5 }$

$\sf { = 35ft }$

$\sf{ Thus, \:The \:area\: of \:parallelogram\: is \:35ft}$

$\sf{\underline{ Now}}$

$\sf{\blue{Area\: of\: rectangle = L × B }}$

$\sf{ = 3 × 1 }$

$\sf{ = 3ft}$

$\sf{Thus, \:The\: Area\: of \:rectangle\: is\: 3ft}$

$\sf{\underline{ Now}}$

$\sf{ Total\: area \:of \:shaded\: part }$

$\sf{ Area\: of\: parallelogram - Area\: of\: rectangle }$

$\sf{ = 35 - 3}$

$\sf{ = 32 ft}$

$\bold{\pink{Hence, \: Area\: of \:shaded\: part \:is\: 32ft}}$

8 0

2 years ago