To determine how many equations share the same solution set, we need to solve each equation and find their respective solutions.
Solve Equation A:
\[ 45(3f - 7) = 25(4f - 8) \]
Start by distributing both sides: \[ 135f - 315 = 100f - 200 \]
Next, isolate \( f \): \[ 135f - 100f = 315 - 200 \] \[ 35f = 115 \] \[ f = \frac{115}{35} = \frac{23}{7} \]
Solve Equation B:
\[ 59g - 2 = 79 \]
Add 2 to both sides: \[ 59g = 81 \] Now, isolate \( g \): \[ g = \frac{81}{59} \]
Solve Equation C:
\[ -2(4 - 2h) = -3(1 - h) \]
Distributing: \[ -8 + 4h = -3 + 3h \]
Isolate \( h \): \[ 4h - 3h = -3 + 8 \] \[ h = 5 \]
Summary of Solutions:
- Equation A: \( f = \frac{23}{7} \)
- Equation B: \( g = \frac{81}{59} \)
- Equation C: \( h = 5 \)
Each equation has a different solution set:
- \( f = \frac{23}{7} \)
- \( g = \frac{81}{59} \)
- \( h = 5 \)
Thus, none of the equations share the same solution set.
The correct response is: none.