Solve the given system of linear equations by inspection.

y=35x−5

y=−35x−5

A (0,−5)
left parenthesis 0 comma negative 5 right parenthesis

B (−5,0)
left parenthesis negative 5 comma 0 right parenthesis

C no solution

D infinitely many solutions

1 answer

The system of linear equations can be solved by observation since the two equations have the same slope but different y-intercepts.

Comparing the two equations, we can see that the slope is 35x in both cases, but the y-intercepts are different (-5 and -5).

Therefore, there is no solution to this system of equations because the lines are parallel and will never intersect.

The correct answer is C) no solution.