Question

can smo reply asap? without solving the system, determine whether there are 0, 1 or an infinite number of solutions. {-4x + 2y = -14 y = 2x + 8 pls explain how to get the steps n what is the answer no solutions one solution or infinite number of solutions. ty.

Answer 1

-4x + 2y = -14
y = 2x + 8

take the first equation and re-write in y = mx + b form by solving for y

now, compare the slopes and y-intercepts of the two equations

if:

1. the slopes and the y-intercepts are the same ---> the two equations are equal, and therefore, the two lines overlap perfectly, and thus, infinite solutions

2. the slope is the same, but the y-intercepts are different ---> the two equations are two parallel, non-intersecting lines, and thus will have no solutions

3. the slopes and y intercepts are different ---> the two lines will only intersect once, for one solution

see which category your system belongs to

Answer 2

@Vocaloid ty i got it