Question
Solve the given system of linear equations by inspection.
y=35x−5
y=−35x−5
(1 point)
Responses
(−5,0)
left parenthesis negative 5 comma 0 right parenthesis
no solution
no solution
(0,−5)
left parenthesis 0 comma negative 5 right parenthesis
infinitely many solutions
y=35x−5
y=−35x−5
(1 point)
Responses
(−5,0)
left parenthesis negative 5 comma 0 right parenthesis
no solution
no solution
(0,−5)
left parenthesis 0 comma negative 5 right parenthesis
infinitely many solutions
Answers
GPT 3.5
The given system of linear equations is:
y = 35x - 5
y = -35x - 5
From inspection, we notice that the coefficients of x in both equations are equal in magnitude (35 and -35), and the constant terms (-5) are also equal.
This implies that the two equations represent the same line. Therefore, there are infinitely many solutions to this system of linear equations.
y = 35x - 5
y = -35x - 5
From inspection, we notice that the coefficients of x in both equations are equal in magnitude (35 and -35), and the constant terms (-5) are also equal.
This implies that the two equations represent the same line. Therefore, there are infinitely many solutions to this system of linear equations.