The matrix    1 −1 7   0 0 0 is in reduced row-echelon form. Determine the solution of the corresponding system of linear equations. Write the solution as an ordered pair. For parametric solutions use either  x = t  or  y = t  as the parameter. (If an answer does not exist, enter DNE.) (x, y) =

Use the addition method to solve the following system of two linear equations.     −6x + 2y  =  −  3 2 9x − 3y  =  9 4 Write the solution as an ordered pair. For parametric solutions use either  x = t  or  y = t  as the parameter. (If an answer does not exist, enter DNE.) (x, y) =

Using the techniques discussed in this section, solve the following system of linear equations. Enter the solution as an ordered pair. For parametric solutions use either  x = t  or  y = t  as the parameter. (If an answer does not exist, enter DNE.)     −10x  +  16y  =  12 5x  −  8y  =  −6 (x, y) =

In each part, solve the linear system, if possible, and use the result to determine whether the lines represented by the equations in the system have zero, one, or infinitely many points of intersection. If there is a single point of intersection, give its coordinates, and if there are infinitely many, find parametric equations for them. (c) x - 2y = 0, x - 4y = 8