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

Question

Mathematics

Stephen Vance

8 May, 21:36

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

+1

Answers (1)

Know the Answer?

Lilia Dennis · 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

By only inspecting the system of equations, describe the lines as being parallel, intersecting, or coinciding. How many solutions exist for the system?y = -12x + 6y = -12x

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