1. what is the solution to the system of equations? 3x-6y = -12 and x-2y = -8

So if you were to simplify the 3x-6y=12, your answer would be x=2y-4.    the x value for 3x-6y=12 is: x=2y-4the y value for 3x-6y=12 is: y=x/2+2

There isn't any solutions. for one, the lines will never intersect. the point of intersection is the solution. since the lines do not ever intersect and are parallel, there are no solutions. this is an explanation for b.  for the substitution method is when you solve one equation for either variable x or y, then substitute the expression you got  into the second equation.  let's solve x - 2y = -8  1. isolate x by moving - and 2y over.x - 2y = -8 -> x  (-2y + 2y= 0) = -8 - 2y -> x = 2y - 8.therefore x = 2y - 8.  2. subsitute 2y - 8 for x in the other equation.3x - 6y = -12 -> 3(2y - 8) - 6y = -12.  3. now solve it.  3(2y - 8) - 6y = -12.the first step on solving this is by  distributing and solving.  3(2y - 8) ->   3 * 2y + 3 * -8 -> 6y + -24the equation now looks like 6y + -24  + -6y = -12.the second step is combining like terms.  6y + -6y + -24 = -12. -> 0 + -24 = -12 -> -24 = -12.is -24 equivalent to -12? no, therefore no solution.