Four times a number is three times the difference of that number and one

Let x represent the unknown number.

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What is 4 times that number? It is 4 times x or 4x for short.

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What is the difference between 35 and the number? It is 35 - x. And what is 3 times that

difference? It is 3(35 - x).

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The problem says that 4 times the number (4x) is equal to 3 times the difference between

35 and the number ... 3(35 - x)

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So set these two quantities equal:

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4x = 3(35 - x)

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On the right side do the distributed multiplication by multiplying 3 times each of the

terms inside the parentheses. When you do that multiplication the equation becomes:

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4x = 105 - 3x

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Get rid of the -3x on the right side by adding 3x to both sides. On the right side the

-3x and the 3x being added cancel each other out. On the left side the 4x plus 3x becomes

7x ... so the equation is then:

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7x = 105

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Solve for x by dividing both sides of this equation by 7 and you get:

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x = 15

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The number that you were asked to find is 15.

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Check ... 4 time that number is 4 times 15 and that is 60. The difference between 35 and

the number is 35 - 15 and that is 20. And 3 times that number is 60. This tells you that

4 times the number does equal 3 times the difference between 35 and the number. So the answer

is correct. The unknown number does equal 15.

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Hope this helps you

it has the same slope and a different y-intercept

hope this : )

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17