Question

What must be true if x/y
? Assume a
0, b0, and y0.

Answer 1

The equation simplifies to
`\(x = (9a^2)/(b^2)\)`. Therefore, the correct statement is
`\((x)/(y) = (9a^2)/(b^2)\)` when the expression
`\((x)/(y) / (3a)/(b) = (3a)/(b)\)` holds true.

Let's analyze the given equation and the options:

`\[ (x)/(y) / (3a)/(b) = (3a)/(b) \]`

To solve this, we can simplify the expression on the left by multiplying by the reciprocal of the divisor:

`\[ (x)/(y) * (b)/(3a) = (3a)/(b) \]`

Now, simplify:

`\[ (xb)/(3ay) = (3a)/(b) \]`

To isolate x, multiply both sides by
`\((3ay)/(b)\):`

`\[ xb = ((3a)^2)/(b) \]`

`\[ xb = (9a^2)/(b) \]`

Now, divide both sides by b:

`\[ x = (9a^2)/(b^2) \]`

So, the correct option is:

`\[ (x)/(y) = (9a^2)/(b^2) \]`

The probable question may be:

What must be true if (x)/(y)-:(3a)/(b)=(3a)/(b) ? Assume a!=0,b!=0, and y!=0. x=y x=0 (x)/(y)=(b^(2))/(9a^(2)) (x)/(y)=(9a^(2))/(b^(2))