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DochEvi [55]
3 years ago
8

Is it possible for two numbers to have a difference of 8 and a sum of 1?

Mathematics
1 answer:
topjm [15]3 years ago
7 0

Answer: yes , it is possible

Step-by-step explanation:

Let the first number be x and the second number be y .Then , the sum of the two numbers will be x + y , and their difference will be x - y.

Combining the two , we have :

x + y = 1 ............................... equation 1

x - y = 8 ................................. equation 2

solving the system of linear equation by substitution method. From equation 1 , make x the subject of the formula ,

x = 1 - y ...................... equation 3

Substitute equation 3 into equation 2 ,

1 - y - y = 8

1 - 2y = 8

add 2y to both sides

1 = 8 + 2y

subtract 8 from both sides

1 - 8 = 2y

- 7 = 2y

divide through by 2

y = \frac{-7}{2}

y = - 3.5

substitute y = -3.5 into equation 3 to find the value of x , we have

x = 1 - y

x = 1 - ( - 3.5 )

x = 1 + 3.5

x = 4.5

Let us check :

x + y will be

4.5 + (-3.5) = 1

Also ,

x - y will be

4.5 - (-3.5)

⇒ 4.5 + 3.5 = 8

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Serggg [28]
Lets consider SAM's age is 'x'  and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
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so, x + y = 24
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so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
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3 0
3 years ago
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Elanso [62]

Answer:

11/15

there ya go!!

Step-by-step explanation:

4 0
2 years ago
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vladimir1956 [14]

Step-by-step explanation:

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3 years ago
Which pairs of rectangles are similar polygons?<br><br> Select each correct answer.
oee [108]
The corrects answers are B and D for this one. 

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Brilliant_brown [7]
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