Find all the solutions of the following system of linear equations
1+ 3x2 + 3-4=1 2x_{1} + 5x_{2} + x_{4} + x_{5} = 0
(1)
2Consider the system of equations
21+ 2x2 = a 2x + x_{2} = b
(2)
- x_{1} + x_{2} = c
where a b and c are unspecified real numbers.
(a) What conditions do a, b and c need to satisfy in order for this system to have
solution?
a (b) Show what the solution looks like if these conditions are met (express the solution in terms of parameters a, b and c ).