Question

solve this equation if possoble if not state reason 2x - 8y =5 -6x + 24y = 15

Answer 1

Evaluate the slopes of each of these two lines. You will find that they are parallel to each other. If they are parallel, there are two different types of solutions. One is, they are the same line. The second is that they are separate lines. These equations intersect the y-axis at different locations. So, this indicates that they are not only parallel but are also two separate lines. Lines that are parallel and never touch each other, means there are not common points, and thus, have no solution. If they did have a solution, they would intersect at a single point and they would then not be parallel.