What is the solution to the system of equations? 3x-6 = -12 x-2y = -8 (a) Use the substitution method to justify that the given system of equations has no solution. (b) What do you know about the two lines in this system of equations?

Answer:Part a) In the procedurePart b) Line A and Line B are different parallel linesStep-by-step explanation:Part a) we have[tex]3x-6y=-12[/tex] ----> equation A [tex]x-2y=-8[/tex] ----> equation BIsolate the variable x in the equation B[tex]x=2y-8[/tex] Substitute the value of x in the equation A[tex]3(2y-8)-6y=-12[/tex][tex]6y-24-6y=-12[/tex][tex]-24=-12[/tex] ------> is not truethereforeThe system of equations has no solutionsPart b) What do you know about the two lines in this system of equations?[tex]3x-6y=-12[/tex] ------> equation Aisolate the variable y[tex]6y=3x+12[/tex][tex]y=(1/2)x+2[/tex][tex]x-2y=-8[/tex] -------> equation Bisolate the variable y[tex]2y=x+8[/tex][tex]y=(1/2)x+4[/tex]Line A and Line B are parallel lines, because their slopes are the sameLine A and Line B are different lines because their y-intercept is not the same