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dimulka [17.4K]
3 years ago
5

The sum of seven times a number— PLEASE HELP!

Mathematics
2 answers:
Ratling [72]3 years ago
7 0

Answer:

4\\6

Step-by-step explanation:

7x+3y=54\\x=y+2

7(y+2)+3y=54\\7y+14+3y=54\\10y+14=54\\10y=40\\y=4

x=y+2\\x=4+2\\x=6

castortr0y [4]3 years ago
6 0

Answer:

x = 6

y = 4

Step-by-step explanation:

Let the two numbers be x and y

<u><em>Condition 1:</em></u>

7x+3y = 54 -----------(1)

<u><em>Condition 2:</em></u>

x = 2+y -----------------(2)

<em>Putting (2) in (1)</em>

=> 7(y+2)+3y = 54

=> 7y+14+3y = 54

=> 10y = 54-14

=> 10y = 40

<em>Dividing both sides by 10</em>

=> y = 4

<em>Now putting y = 4 in eq(2)</em>

=> x = 2+4

=> x = 6

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That's a 33% increase.

I calculated this using the formula:

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Where n = the new value (16 in your question), o = the old value (12 in your question) and the result is outputted as a percent increase.  You can check that this is correct by finding 33% of 12, adding the result to 12, and checking that the result equals your "new" number.  

Note that 33% is only an approximation as your question requires a number rounded to the nearest whole.


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