Question
Solve the given system of linear equations by inspection. Enter 1 for one solution, 2 for no solution, or 3 for infinitely many solutions.
y=−3x+5
2y=−6x+10
(1 point)
y=−3x+5
2y=−6x+10
(1 point)
Answers
GPT 3.5
The given system of linear equations is:
y = -3x + 5
2y = -6x + 10
From inspection, we can see that these two equations represent the same line. The second equation is simply obtained by multiplying the first equation by 2 on both sides.
Since the equations represent the same line, they have infinitely many solutions.
Therefore, the answer is 3 for infinitely many solutions.
y = -3x + 5
2y = -6x + 10
From inspection, we can see that these two equations represent the same line. The second equation is simply obtained by multiplying the first equation by 2 on both sides.
Since the equations represent the same line, they have infinitely many solutions.
Therefore, the answer is 3 for infinitely many solutions.