Write an explanation for both part a and part b using 3-4 complete sentences. part a: explain how you can determine if a system of equations will have no solution when comparing the graph of the equations. part b: explain how you can determine if a system of equations has no solution by comparing each algebraic equation. be sure that your explanation includes 3 of the 4 words below: parallel, slope, y-intercept, slope intercept form

Step-by-step explanation:

Part A : when comparing graphs : A system of equations will have no solutions (on a graph) when your lines never cross each other. They never cross each other because your lines are parallel.

Part B : by comparing each algebraic equation : A system of equations will have no solution if your lines are parallel. Parallel lines will have the same slope but different y intercepts. Example :

2x - y = 2

4x - 2y = 8

put both equations in slope intercept form

y = 2x - 2

y = 2x - 4

they both have the same slope of 2and the y intercepts are differentmeaning they are parallel lines and have no solutions

answer: asdfghjkl,mnbv

step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)