Question:
Possible system of equations
Consider the set of points (x, y, z) defined by the set of equations below:
{ x = 1 - t }
{ y = 2t }
{ z = 1 + t }
where t is a real number parameter.
Find a 2x3 system of linear equations having this set of points as its solution set.
Please show all steps in your work and explain your answer in detail.