A system of equations is shown below:[br][math]3x-ky-6z=k[/math][br][math]kx+3y+3z=2[/math][br][math]-3x-y+3z=-2[/math][br]For each of the following values of [math]k[/math], determine whether the system of equations is consistent, or inconsistent. If the system is consistent, determine whether there is a unique solution or an infinity of solutions. In each case, identify the geometric configuration of the planes corresponding to each value of [math]k[/math].[br]a) [math]k=0[/math],[br]b) [math]k=1[/math],[br]c) [math]k=-6[/math][br][br](You may want to open the below in a new tab by clicking the menu on right top corner, then select Open in App)[br]