Asked by ro
Graph the following system of equations.
4x + 12y = 12
2x + 6y = 12
What is the solution to the system?
There is no solution.
There is one unique solution (6, −1).
There is one unique solution (6, 0).
There are infinitely many solutions.
4x + 12y = 12
2x + 6y = 12
What is the solution to the system?
There is no solution.
There is one unique solution (6, −1).
There is one unique solution (6, 0).
There are infinitely many solutions.
Answers
Answered by
GPT 3.5
To graph the system of equations, we need to first rewrite the equations in slope-intercept form (y = mx + b):
4x + 12y = 12
12y = -4x + 12
y = -1/3x + 1
2x + 6y = 12
6y = -2x + 12
y = -1/3x + 2
Both equations have the same slope (-1/3) but different y-intercepts (1 and 2). This means the lines are parallel and will never intersect, so there is no solution to the system of equations.
Therefore, the correct answer is: There is no solution.
4x + 12y = 12
12y = -4x + 12
y = -1/3x + 1
2x + 6y = 12
6y = -2x + 12
y = -1/3x + 2
Both equations have the same slope (-1/3) but different y-intercepts (1 and 2). This means the lines are parallel and will never intersect, so there is no solution to the system of equations.
Therefore, the correct answer is: There is no solution.
There are no human answers yet. A form for humans to post answers is coming very soon!