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3 years ago

X + 7 - 4x = 19 - 2x

Mathematics

2 answers:

Inessa [10]3 years ago

5 0

Answer:

x=−12

Step-by-step explanation:

Simplifying

x + 7 + -4x = 19 + -2x

Reorder the terms:

7 + x + -4x = 19 + -2x

Combine like terms: x + -4x = -3x

7 + -3x = 19 + -2x

Solving

7 + -3x = 19 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.

7 + -3x + 2x = 19 + -2x + 2x

Combine like terms: -3x + 2x = -1x

7 + -1x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0

7 + -1x = 19 + 0

7 + -1x = 19

Add '-7' to each side of the equation.

7 + -7 + -1x = 19 + -7

Combine like terms: 7 + -7 = 0

0 + -1x = 19 + -7

-1x = 19 + -7

Combine like terms: 19 + -7 = 12

-1x = 12

Divide each side by '-1'.

x = -12

dybincka [34]3 years ago

3 0

Answer:

-12

Step-by-step explanation:

x+7-4x=19-2x

-3x+2x=19-7

-x=12

x=-12

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The perimeter of a rectangular garden is 44 meters. The length of the rectangle is 5 less than twice the width. Find the length

defon

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Answer:

width: 9 m
length: 13 m

Step-by-step explanation:

Let w represent the width. Then the length is 2w-5, and the perimeter is ...

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2 years ago

What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly? Write your answer rounded to the neare

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Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
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Interest earned = 2713.8

Hope this helps :)

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3 years ago

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