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
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.
To solve the system of linear equations by inspection, we can see that the coefficients of x in both equations are opposite in sign, indicating that the lines are parallel. Parallel lines do not intersect and therefore do not have a common solution.
So, the correct answer is C) no solution.
To solve the given system of linear equations by inspection, we can observe that the two equations have the same slope but different y-intercepts. The slope of both equations is 35 (or -35) and the y-intercepts are -5 and -5.
Since the slopes are the same and the y-intercepts are different, we can conclude that the system of equations represents two parallel lines that do not intersect. Therefore, there is no common solution.
Hence, the answer is C) no solution.