Question

select all of the equations below that are equivalent to: jk = 20

jk - 5 = 15
jk - 9 = 11
jk - 12 = 6
jk - 14 = 6

Answer 1

To determine which equations are equivalent to \( jk = 20 \), we can manipulate each equation to see if it leads to the same conclusion.

1. **Equation: \( jk - 5 = 15 \)**
- Add 5 to both sides:
\[
jk = 15 + 5 \implies jk = 20
\]
- **This equation is equivalent to \( jk = 20 \)**.

2. **Equation: \( jk - 9 = 11 \)**
- Add 9 to both sides:
\[
jk = 11 + 9 \implies jk = 20
\]
- **This equation is equivalent to \( jk = 20 \)**.

3. **Equation: \( jk - 12 = 6 \)**
- Add 12 to both sides:
\[
jk = 6 + 12 \implies jk = 18
\]
- **This equation is not equivalent to \( jk = 20 \)**.

4. **Equation: \( jk - 14 = 6 \)**
- Add 14 to both sides:
\[
jk = 6 + 14 \implies jk = 20
\]
- **This equation is equivalent to \( jk = 20 \)**.

Thus, the equations that are equivalent to \( jk = 20 \) are:

- \( jk - 5 = 15 \)
- \( jk - 9 = 11 \)
- \( jk - 14 = 6 \)