The system of equations is represented by two linear equations:
1) y = 3x - 2
2) -3x + y = 7
To determine the number of solutions, we can examine the slopes of the two equations.
Equation 1 has a slope of 3, which means it is a line that goes upward as x increases.
Equation 2 can be rewritten as y = 3x + 7. This equation has a slope of 3 as well, so it is also a line that goes upward as x increases.
Since the slopes of the two lines are the same, the lines are parallel. Parallel lines do not intersect, so there are no solutions to this system of equations.
Therefore, the system has 0 solutions.
The graphs represent this system: y=3x−2 −3x+y=7 How many solutions does this system have: 0, 1, or ∞ ?
3 answers
If the lines in a system of linear equations are parallel, what is the system called? Enter the number that corresponds to the correct option: 1 - consistent system of equations 2 - dependent system of equations 3 - inconsistent system of equations 4 - independent system of equatio
3 - inconsistent system of equations