Let's evaluate the given system of equations to determine their validity step by step.
The given system consists of two equations:
1. [tex]\( 5 - 3 = 2 \)[/tex]
2. [tex]\( 5 + 3 = 10 \)[/tex]
### Step 1: Evaluating the first equation
Consider the first equation:
[tex]\[ 5 - 3 = 2 \][/tex]
Subtract 3 from 5:
[tex]\[ 5 - 3 = 2 \][/tex]
This equation evaluates to:
[tex]\[ 2 = 2 \][/tex]
Since the left-hand side (LHS) equals the right-hand side (RHS), the first equation is true.
### Step 2: Evaluating the second equation
Now, consider the second equation:
[tex]\[ 5 + 3 = 10 \][/tex]
Add 3 to 5:
[tex]\[ 5 + 3 = 8 \][/tex]
This equation evaluates to:
[tex]\[ 8 = 10 \][/tex]
Since the left-hand side (LHS) does not equal the right-hand side (RHS), the second equation is false.
### Conclusion
- The first equation [tex]\( 5 - 3 = 2 \)[/tex] is true.
- The second equation [tex]\( 5 + 3 = 10 \)[/tex] is false.
Thus, the results for the validity of the given equations are:
[tex]\[ \left(\text{True}, \text{False}\right) \][/tex]
