Question

1. What is the solution to the system of equations?

3x - 6y = -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 1

Solution to the 1st equation: x
3x-6y=-12
3(x-2y)=-12
x-2y=-4
→x=2y-4

Solution to the 1st equation: y
3x-6y=-12
3(x-2y)=-12
x-2y=-4
-2y=-4-x
→y=-4-x/2