Let's solve each equation step by step to find the value of \( x \) and \( y \).
Equation: \( 72: (12 - x) = 30:6 \)
First, simplify \( 30:6 = 5 \). Thus, the equation is:
\[ \frac{72}{12 - x} = 5 \]
Cross-multiplying gives:
\[ 72 = 5(12 - x) \]
Expanding:
\[ 72 = 60 - 5x \]
Rearranging:
\[ 5x = 60 - 72 \]
\[ 5x = -12 \]
Dividing by 5:
\[ x = -\frac{12}{5} = -2.4 \]Equation: \( \frac{x}{(36:18)} = \frac{80}{40} \)
Simplifying \( 36:18 = 2 \) and \( 80:40 = 2 \):
\[ \frac{x}{2} = 2 \]
Cross-multiplying gives:
\[ x = 2 \cdot 2 = 4 \]Equation: \( x \cdot (48:8) = 4200:70 \)
Simplifying \( 48:8 = 6 \) and \( 4200:70 = 60 \):
\[ x \cdot 6 = 60 \]
Dividing by 6:
\[ x = 10 \]Equation: \( \frac{x}{(8\cdot9)} = 8\cdot9 \)
Since \( 8 \cdot 9 = 72 \):
\[ \frac{x}{72} = 72 \]
Cross-multiplying gives:
\[ x = 72 \cdot 72 = 5184 \]Equation: \( x - 12325 = 12325 \)
Adding \( 12325 \) to both sides gives:
\[ x = 12325 + 12325 = 24650 \]Equation: \( 934457 - y = 9999 \)
Subtracting \( 934457 \) from both sides gives:
\[ -y = 9999 - 934457 \]
\[ -y = -924458 \]
Thus:
\[ y = 924458 \]Equation: \( (y + 476) - 775 = 0 \)
Rearranging gives:
\[ y + 476 = 775 \]
Subtracting \( 476 \) gives:
\[ y = 775 - 476 = 299 \]Equation: \( (738 + 114) - (514 + z) = 0 \)
Simplifying gives:
\[ 852 - (514 + z) = 0 \]
Rearranging gives:
\[ 852 = 514 + z \]
Thus:
\[ z = 852 - 514 = 338 \]
Summary of Solutions:
- \( x = 5184 \) (most confirmed value)
- \( y = 299 \)
- \( z = 338 \)
Please verify each step or recheck any differences in values if they were required elsewhere.