Question

select all of tthe equaions that are equalvilent to 17 = st

95 = 5st
51 = 3s
-30 = 2st
-85 = st x -5

Answer 1

To determine which of the given equations are equivalent to \( 17 = st \), we need to manipulate each equation to see if we can express \( st \) as \( 17 \).

1. **95 = 5st**
- Dividing both sides by 5:
\[
st = \frac{95}{5} = 19
\]
- Not equivalent to \( 17 = st \).

2. **51 = 3s**
- Solving for \( s \):
\[
s = \frac{51}{3} = 17
\]
- Substitute back to \( st \):
\[
st = 17s
\]
- We cannot conclude equivalence without knowing \( t \), but we cannot directly say it equals 17 either.

3. **-30 = 2st**
- Dividing both sides by 2:
\[
st = \frac{-30}{2} = -15
\]
- Not equivalent to \( 17 = st \).

4. **-85 = st \cdot -5**
- Dividing both sides by -5:
\[
st = \frac{-85}{-5} = 17
\]
- This is equivalent to \( 17 = st \).

Thus, the equations that are equivalent to \( 17 = st \) are:

- **51 = 3s** (if \( t = 1 \))
- **-85 = st \cdot -5**

Only the last equation is directly equal to \( st = 17 \).