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postnew [5]
3 years ago
10

4-7x=1-6x can someone please solve and show the work :)

Mathematics
1 answer:
vekshin13 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

Simplifying

4 + -7x = 1 + -6x

Solving

4 + -7x = 1 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.

4 + -7x + 6x = 1 + -6x + 6x

Combine like terms: -7x + 6x = -1x

4 + -1x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0

4 + -1x = 1 + 0

4 + -1x = 1

Add '-4' to each side of the equation.

4 + -4 + -1x = 1 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 1 + -4

-1x = 1 + -4

Combine like terms: 1 + -4 = -3

-1x = -3

Divide each side by '-1'.

x = 3

Simplifying

x = 3

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A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The
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10 small boxes and 11 large boxes were shipped.

Step-by-step explanation:

Given,

Total boxes shipped = 21

Total volume of shipped boxes = 342 cubic feet

Volume of each small box = 10 cubic feet

Volume of each large box = 22 cubic feet

Let,

Number of small boxes = x

Number of large boxes = y

According to given statement;

x+y=21     Eqn 1

10x+22y=342    Eqn 2

Multiplying Eqn 1 by 10

10(x+y=21)\\10x+10y=210\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(10x+22y)-(10x+10y)=342-210\\10x+22y-10x-10y=132\\12y=132

Dividing both sides by 12

\frac{12y}{12}=\frac{132}{12}\\y=11

Putting y=11 in Eqn 1

x+11=21\\x=21-11\\x=10

10 small boxes and 11 large boxes were shipped.

Keywords: linear equation, subtraction

Learn more about linear equations at:

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#LearnwithBrainly

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An adult stingray can measure about 350 cm long. how many meters is 350 cm?
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Answer:

<u>3.5 meters</u>

Step-by-step explanation:

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multiply both sides by 3.5 because we are trying to get 350 cm in meters.

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