Question

The graph of a system of equations with the same slope will have no solutions. a Always b Sometimes c Never

Answer 1

Answer:

NEVER

Step-by-step explanation:

If we are given a system of equations such that both the equations have different slope then the lines will intersect for sure.

This means that the intersection point of the two lines will be a solution of the system of equations.

Hence, we will never get a no solution.

( We generally obtain a no solution when two lines have same slope but different y-intercepts.

since in this case when in slope intercept form of the equation we put x=0 we get two different values of y which will result in absurd results).

Hence, the graph of system of equations with different slopes will never have no solution.

Answer 2

The graph of a system of equations with the same slope will have no solutions.

Ans: c. Never