`(5)/(-7)=(-25)/(square)=(square)/(63)`

Answer

To solve the equation `(5)/(-7) = (-25)/(X) = (Y)/(63)`, we need to find the values of `X` and `Y`. Let's break this down step by step.

### Step 1: Set up the equations
We know that:
1. \( \frac{5}{-7} = \frac{-25}{X} \)
2. \( \frac{5}{-7} = \frac{Y}{63} \)

### Step 2: Solve for X
From the first equation \( \frac{5}{-7} = \frac{-25}{X} \), we can use cross-multiplication:
\[ 5 \cdot X = -25 \cdot (-7) \]
This simplifies to:
\[ 5X = 175 \]
Now, divide both sides by 5:
\[ X = \frac{175}{5} = 35 \]

### Step 3: Solve for Y
Next, we use the second equation \( \frac{5}{-7} = \frac{Y}{63} \) and again apply cross-multiplication:
\[ 5 \cdot 63 = -7 \cdot Y \]
This simplifies to:
\[ 315 = -7Y \]
Now, divide both sides by -7:
\[ Y = \frac{315}{-7} = -45 \]

### Final Values
Thus, we find:
- \( X = 35 \)
- \( Y = -45 \)

### Summary
The values that fill the blanks are:
- \( X = 35 \)
- \( Y = -45 \)