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Popular >

The sum of two numbers is zero. When 11 times the smaller number is added to 6 times the larger, the result is 3. Find the two numbers.

Solution

The sum of two numbers is zero. When 11 times the smaller number is added to 6 times the larger, the result is 3. Find the two numbers.

Solution

The numbers : \frac{3}{5}, - \frac{3}{5}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 0

6 y + 11 x = 3

x + y = 0, 6 y + 11 x = 3 : x = \frac{3}{5}, y = - \frac{3}{5}

The numbers : \frac{3}{5}, - \frac{3}{5}

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