My sister thinks these problems are unsolvable for x. I can't find any examples in my book. I know how to solve basic proportion problems, but these two are hard.

1. x : x-3 = x+4 : x

2. x+1 : 6 = x-1 : x

Thanks!

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- January 6th 2013, 09:50 PMBrokenRitualSolve Proportions using cross products
My sister thinks these problems are unsolvable for x. I can't find any examples in my book. I know how to solve basic proportion problems, but these two are hard.

1. x : x-3 = x+4 : x

2. x+1 : 6 = x-1 : x

Thanks! - January 7th 2013, 12:52 AMchiroRe: Solve Proportions using cross products
Hey BrokenRitual.

Try getting rid of the denominators and collect the terms.

For the first one we have x^2 + 4x =x^2 - 3x or 7x = 0 => x = 0 but this is a contradiction since x is on the denominator and can't be zero. So no solution exists.

You try the same kind of technique for the second one. - January 7th 2013, 08:10 AMSorobanRe: Solve Proportions using cross products
Hello, BrokenRitual!

Why do you say these are "hard"?

Quote:

We have: .

Cross product: .

n . . . . . . . . . . . . .

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Quote:

We have: .

Cross product: .

n . . . . . . . . . . . . .

. . . . . . . . . . .

. . . . . . . . .

. . . . . . . . . . . . . . . . . .