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In Mathematics / Middle School | 2014-05-27

I think of two numbers, \( x \) and \( y \).

\( x - y \) is half of \( x + y \).

Write \( x \) in terms of \( y \).

Asked by indigosmith

Answer (3)

You said that (x - y) is half of (x+ y) . I can work with that.
(x - y) = 1/2 (x + y)
x - y = 1/2 x + 1/2 y
Multiply each side by 2 :
2x - 2y = x + y
Subtract 'x' from each side:
x - 2y = y
Add 2y to each side:
x = 3y
They can be ANY two numbers, as long as 'x' is triple whatever 'y' is.
Let's try a couple:
x = 18, y = 6 (x - y) = 12 (x + y) = 24 12 = 1/2 of 24x yay !
x = 30, y = 10 (x - y) = 20 (x + y) = 40 20 = 1/2 of 40 yay !
x = 3π, y = π (x - y) = 2π (x + y) = 4π 2π = 1/2 of 4π yay !

Answered by AL2006 | 2024-06-10

X-y =x+y all over 2 Add the y onto the other side making x = x+y all over 2 +y Then you times everything by 2 2x = x+2y Subtract x from both sides giving you X=2y

Answered by dandann | 2024-06-10

The expression for x in terms of y is x = 3 y . This result indicates that the number x is always three times the value of y .
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Answered by AL2006 | 2024-10-11