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3 years ago

Solve the system of equations -5y+8x=-18 5y+2x=58

Mathematics

1 answer:

miskamm [114]3 years ago

4 0

Answer:

(x,y) = (4, 10)

Step-by-step explanation:

-5y + 8x = -18

5y +2x =58

Adding both equations

-5y + 8x = -18

0 + 10x = 40

10x/10 = 40 / 10

x = 4

putting x= 4 in equation 1

-5y + 8x = -18

-5y + 8(4) = -18

-5y + 32 = -18

-5y = -18 -32

-5y = -50

-5y/-5 = -50/-5

y= 10

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2 years ago

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Looking at this problem in terms of geometry makes it easier than trying to think of it algebraically.

If you want the largest possible x+y, it's equivalent to finding a rectangle with width x and length y that has the largest perimeter.

If you want the smallest possible x+y, it's equivalent to finding the rectangle with the smallest perimeter.

However, the area x*y must be constant and = 100.

We know that a square has the smallest perimeter to area ratio. This means that the smallest perimeter rectangle with area 100 is a square with side length 10. For this square, x+y = 20.

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Read 2 more answers

158 divided by 37 I don’t get it what is the answer

Salsk061 [2.6K]

Answer:

4.2702702703

4 Remainder 10

Step-by-step explanation:

158 divided by 37 = 4.270

The result of 158/37 is a non-terminating, repeating decimal.

The repeating pattern above, 270, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 158/37 = 4.(270): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 158 / 37 = 4.270… .

158 divided by 37 in decimal = 4.270

158 divided by 37 in fraction = 158/37

158 divided by 37 in percentage = 427.02702703%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 158 and 37, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 158, and the denominator, e.g. 37, have been inserted.