Question

Does the following system have 1 solution, no solutions, or infinite solutions? y=2x+6 and y=8x+6

1 solution
No Solution
Infinite Solution

Answer 1

no solution is the solution

Answer 2

There is 1 solution. The slopes are different but you can tell by the y-intercept (the 6) that they share a point at least once. The 8x slope is much steeper than the 2x slope, and they intersect on the y-axis at (0,6).