posted by Dee on .
Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions involving one parameter, enter the solution using t for the last variable. If the solution involves two parameters, add s for the second to last variable.)
By inspection, we see that the first equation is a linear combination (4 times) the second equation. Similarly, the third equation can be obtained by multiplying equation 2 three times.
Therefore the equations represent 3 coincident lines:
Let z = t, and y = s, then we can solve for x in terms of s and t:
x = -5 +2s + 6t
y = s
z = t