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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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a) Net result of Tamiko's transactions = $143.75

b) Total amount she can save = $86.25

Step-by-step explanation:

Step 1 :

Given,

Amount Tamiko got in her first check =  $109.60

Amount of the bonus check = $34.15

Fraction of the amount she wants to save = \frac{3}{5}

We need to find the net results of her transactions and the amount she will save

Step 2 :

The new result of her transactions can be computed by adding the amount she has received through both the check.

Total amount she received  = 109.60 + 34.15 = 143.75

Total amount she can save =   \frac{3}{5} × 143.75 = 86.25

Step 3 :

Answer :

a) Net result of Tamiko's transactions = $143.75

b) Total amount she can save = $86.25

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