There is a linear system that has exactly 2 distinct solutions.  true or false

True or false: Whenever two equations in a system have the same coefficient for one of the variables, the elimination method is a good choice for solving.

Consider the system of linear equations: -x1 + 2x2 + 3x3 + x4 = 3 2x1 - 4x2 + x3 + 2x4 = -1 -3x1 + 8x2 + 4x3 - x4 = 6 x1 + 4x2 + 7x3 - 2x4 = -4 i) Solve the systems of equations for x1, x2, x3, x4 utitilizing the Gauss-Jordan method. ii) Obtain the Lower & Upper triangular matrices for the system of linear equations. iii) Use the LU factorization obtained in iii) to solve for x1, x2, x3, x4. N.b : Don't kindly lift answers from other experts solution.

Name the three types of solutions linear systems can have and give a graphical example of each type using two variables.