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Dominik [7]
3 years ago
5

30 points !!!!!!!!Solve the following problem. Show ALL steps to receive full credit.

Mathematics
2 answers:
Aleksandr [31]3 years ago
5 0
7x - 8 = 8 + 3x
7x - 3x = 8 + 8
4x = 16
x = 16/4
x = 4
erastova [34]3 years ago
4 0
Hi there! To solve this problem, first, we need to combine like terms. When you do, you should get 7x - 8 = 8 + 3x. Now, subtract 3x from both sides to get the whole number on the right by itself. When you do, you get 4x - 8 = 8. Now, add 8 to both sides to get 4x on its side alone and you get 4x = 16. Now, divide each side by 4 to isolate the “x”. 16/4 is 4. There. x = 4.
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Answer:

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Step-by-step explanation:

Set up an equation where x is James' age:

Rob's age can be represented by x + 7, since he is 7 years older than James

Kate's age can be represented by x - 2, since she is 2 years younger than James

Add these together in the equation and set it equal to 116:

(x + 7) + (x - 2) + (x) = 116

Add like terms and solve for x:

(x + 7) + (x - 2) + (x) = 116

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3x = 111

x = 37

So, James is 37.

Find Rob's age by adding 7 to this:

37 + 7

= 44

Find Kate's age by subtracting 2:

37 - 2

= 35

So, James is 37, Rob is 44, and Kate is 35

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