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Solve the following system of equations:
[tex]\[
\begin{cases}
5 - 3 = 2 \\
5 + 3 = 8
\end{cases}
\][/tex]

Note: The original second equation contained an error. The correct equation is provided above.

Sagot :

GinnyAnsweridn
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]
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