Question

What is the correct classification of the system of equations below?

14x + 2y = 10
y + 7x = -5

A. parallel
B. coincident
C. intersecting
D. x=10, y=2

Answer 1

When you do this, you'll get a contradiction, \(0=20\). When you have a contradiction like that, it means the lines are parallel.

Answer 2

If you rearrange those equations into the form \(y=mx+c\), you can see how their slopes compare (\(m\) being the slope of each line).