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lions [1.4K]
3 years ago
14

The difference of two numbers is 3. their sum is 13. find the numbers. creater the system and solve

Mathematics
1 answer:
erica [24]3 years ago
8 0
Hey there :)

Let us translate the words into mathematics!

The difference of 2 numbers is 3
x - y = 3

The sum of 2 numbers is 13
x + y = 13

(eq. 1) x - y = 3
(eq.2) x + y = 13
eq. 1 + eq.2 ⇒ x - y = 3
                     + x + y = 13   ( -y and +y cancels out )
                       2x = 16
                        \frac{2x}{2} = \frac{16}{2}
                       x = 8

We have the value of x, simply substitute it in either of the formulae to find y

x - y = 3 , 8 - y = 3 , 8 - 3 = y , 5 = y
x + y = 13 , 13 - 8 = y , 5 = y

x = 8 , y = 5



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Answer:

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Step-by-step explanation:

Let x be the the total inventory.

We have been given that in the Holiday Shop the manager wants 20% of the total inventory in the stockroom. You placed $35,000 of inventory in the stockroom.

We can set an equation such that 20% of x equals $35,000.

\frac{20}{100}\cdot x=\$35,000

0.20x=\$35,000

\frac{0.20x}{0.20}=\frac{\$35,000}{0.20}

x=\$175,000

Since $35,000 of inventory in the stockroom, so we will subtract $35,000 from $175,000.

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Therefore, $140,000 of the inventory on the selling floor.

7 0
3 years ago
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alexandr402 [8]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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8_murik_8 [283]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

3 0
2 years ago
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Answer:

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Step-by-step explanation:

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so on so forth, but basically you add 16 which completes the square

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