Mathematics
22.01.2023 21:31
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The sum of two numbers is 81. The larger number is twice the smaller number. Let

The sum of two numbers is 81. The larger number is twice the smaller number. Let x be the larger number and y be the smaller number. What are the two numbers?

Express
your answer as an ordered pair in the format (x, y).
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iiheartshay
iiheartshay
4,8(55 marks)

Respuesta:

Los números son 18 y 6

Explicación paso a paso:

Si "x" es el más grande ; "y" el más pequeño

x + y = 2 ( x - y )

Además

x = 2y + 6

sustituimos

2y + 6 + y = 2 ( 2y + 6 - y )

2y + 6 + y = 4y + 12 - 2y

3y + 6 = 2y + 12

3y - 2y = 12 - 6

y = 6  ( número más pequeño )

Calculamos "x"

x = 2 ( 6 ) + 6

x = 12 + 6

x = 18  ( número más grande )

macinnoodlezz
macinnoodlezz
4,4(69 marks)
D

The steepness (slope) is the same for both equations, but the lines cross the y axis at different points.

f(x) crosses the y axis at -4 while g(x) crosses the y axis at 2. If you counted on a graph, that is a difference of 6 units, so D is correct

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