Solve the system of linear equations.

To solve the system of equations, we will use the method of elimination or substitution.

The given system is:

Let’s first manipulate these equations for easier elimination.

Step 1: From Equation 1, we can express in terms of and :

Step 2: Substitute Equation 4 into Equations 2 and 3:

Substituting from Equation 4 into Equation 2:

Expanding it:

Combine like terms:

Step 3: Now substitute back into Equation 4 to find :

Step 4: Substitute both and into Equation 3:

Using Equation 5:

Calculating:

Simplifying:

We’ve reached a contradiction, indicating that the system of equations is inconsistent. This means there is no solution to the given system of equations.

Thus, we conclude that the system does not have any solution.