Let's evaluate each equation step by step for [tex]\( c = 9 \)[/tex].
1. For equation A: [tex]\( 4 - c = 5 \)[/tex]
- Substitute [tex]\( c = 9 \)[/tex]:
[tex]\[
4 - 9 = -5 \neq 5
\][/tex]
- Therefore, [tex]\( c = 9 \)[/tex] is not a solution to this equation.
2. For equation B: [tex]\( 20 = 14 + c \)[/tex]
- Substitute [tex]\( c = 9 \)[/tex]:
[tex]\[
20 = 14 + 9 = 23 \neq 20
\][/tex]
- Therefore, [tex]\( c = 9 \)[/tex] is not a solution to this equation.
3. For equation (c): [tex]\( 15 = c - 6 \)[/tex]
- Substitute [tex]\( c = 9 \)[/tex]:
[tex]\[
15 = 9 - 6 = 3 \neq 15
\][/tex]
- Therefore, [tex]\( c = 9 \)[/tex] is not a solution to this equation.
4. For equation D: [tex]\( \frac{c}{3} = 3 \)[/tex]
- Substitute [tex]\( c = 9 \)[/tex]:
[tex]\[
\frac{9}{3} = 3
\][/tex]
- Therefore, [tex]\( c = 9 \)[/tex] is a solution to this equation.
5. For equation E: [tex]\( 36 = 4c \)[/tex]
- Substitute [tex]\( c = 9 \)[/tex]:
[tex]\[
36 = 4 \times 9 = 36
\][/tex]
- Therefore, [tex]\( c = 9 \)[/tex] is a solution to this equation.
Thus, the solutions are equations D and E.
