Question

2y=12x-10 and y=6x+12 Do the lines intersect, coincide, or are they parallel?

Answer 1

Dividing the first equation by 2 we get:

$\begin{gathered} \frac{2y}{2}=\frac{12x-10}{2}, \\ y=6x-5. \end{gathered}$

Therefore, both lines have the same slope, then they must be parallel or the same line. Now, since they have different y-intercept, we get that they must be different lines.

Answer: The given lines are only parallel.