Miike012 said:I can't find the post...
I think you said...
y/(x-z) = x/y
(x+y)/z = x/y
And solve?
Consider three equivalent fractions, likeMiike012 said:1) How did they determine that the ratio is 2 just by adding the three?
Since it was determined that each ratio is equal to 2 (or 2:1), it was written out thatMiike012 said:2)How did they get to (x+y)/z = x/y = 2.
Two cases were considered here. In the first case, x + y ≠ 0. In the second case, x + y = 0, or y = -x. Simple, really.Miike012 said:3) How did they get to y = -x, and y/(x-z) = x/y ?
The equation for solving the ratio of x:y:z is y/(x-z)=(y+x)/z=x/y.
To solve for the value of y in this ratio, you can use algebraic manipulation to isolate y on one side of the equation. First, multiply both sides of the equation by z to eliminate the fractions. Then, distribute the z on the right side of the equation. Next, move all terms containing y to one side of the equation and all other terms to the other side. Finally, divide both sides by the coefficient of y to isolate y and solve for its value.
Yes, this ratio can be simplified by dividing each term by their greatest common divisor. This will result in a simplified ratio of (x-z):(y+x):x.
No, this equation is only valid for values of x, y, and z that satisfy the condition of y not equaling x-z. If this condition is not met, the equation will result in a division by zero error.
Solving for the ratio of x:y:z can provide useful information about the relative sizes or proportions of x, y, and z. This can be helpful in various fields such as finance, statistics, and science where understanding and comparing different quantities is important.