To find two subtraction equations that are equivalent to the addition equation [tex]\( 5 + 12 = 17 \)[/tex], we can manipulate the given equation using the relationship between addition and subtraction. Here’s a detailed, step-by-step process:
1. Identify the original equation:
[tex]\[ 5 + 12 = 17 \][/tex]
2. Construct the first subtraction equation:
- Start with the sum from the original equation, which is 17.
- Subtract one of the addends (12) from the sum:
[tex]\[ 17 - 12 = 5 \][/tex]
3. Construct the second subtraction equation:
- Again, start with the sum from the original equation, which is 17.
- This time, subtract the other addend (5) from the sum:
[tex]\[ 17 - 5 = 12 \][/tex]
Therefore, the two subtraction equations that are equivalent to [tex]\( 5 + 12 = 17 \)[/tex] are:
1. [tex]\( 17 - 12 = 5 \)[/tex]
2. [tex]\( 17 - 5 = 12 \)[/tex]
These two equations correctly transform the original addition equation into subtraction format, maintaining the balance and equality.
