Final answer:
By using the elimination method to solve the given system of linear equations, we find that the value of x is 5.
Step-by-step explanation:
To solve the given system of equations for x, we can use the method of elimination. The system of equations provided is:
x + 3y = 2
4x - 3y = 23
We can add the two equations together to eliminate y because the coefficients of y are equal and opposite (3y and -3y). Adding them gives us:
5x = 25
Dividing both sides by 5 gives us the value of x:
x = 25 / 5
x = 5
The solution of this system of equations is x = 5, y can be found by substituting x back into one of the original equations.