Question

By only inspecting the system of equations, describe the lines as being parallel, intersecting, or coinciding. How many solutions exist for the system?

y = −
1
2
x + 6
y = −
1
2
x

Answer 1

Answer: they are parallel

no solutions are there

steps

since b(y) in both cases is -1 and a(x) is 1/2 and c(the constant value) varies. ie 6 and 1

so

a1/a2 = b1/b2 ¥ c1/c2

so according to the system of equations in this case lines are parallel and thus there are no solutions