To determine the number of equations that have the same solution set, we'll need to solve each equation.
Equation A:
\[ 45(3f - 7) = 25(4f - 8) \]
Distributing on both sides: \[ 135f - 315 = 100f - 200 \]
Bringing like terms together: \[ 135f - 100f = 315 - 200 \] \[ 35f = 115 \] \[ f = \frac{115}{35} = \frac{23}{7} \]
Equation B:
\[ 59g - 2 = 79 \]
Adding 2 to both sides: \[ 59g = 81 \] \[ g = \frac{81}{59} \]
Equation C:
\[ -2(4 - 2h) = -3(1 - h) \]
Distributing: \[ -8 + 4h = -3 + 3h \]
Rearranging the equation: \[ 4h - 3h = -3 + 8 \] \[ h = 5 \]
Now, we have the solutions for each equation:
- Equation A: \( f = \frac{23}{7} \)
- Equation B: \( g = \frac{81}{59} \)
- Equation C: \( h = 5 \)
Since each equation has a different solution set, the number of equations that share the same solution set is none.
Final response: none.