One equation in a system of linear equations has a slope of -3. the other equation has a slope of 4. how many solutions does the system have? explain
one, the two lines have to cross somewhere.
If one equation in a system of linear equations has a slope of -3, and the other equation has a slope of 4, it means that the two lines represented by the equations are not parallel.
When two lines with different slopes are not parallel, they will intersect at a single point, which corresponds to the solution of the system of equations.
Hence, the system of linear equations will have a single solution.
To determine the number of solutions in a system of linear equations, we need to analyze the slopes of the equations.
In this case, one equation has a slope of -3, and the other equation has a slope of 4.
If the slopes of the two equations are different, the system will have exactly one solution. This occurs when the two lines intersect at a single point.
On the other hand, if the slopes of the two equations are the same, the system will have infinitely many solutions. This occurs when the two lines are coincident and overlap each other.
Since the given slopes of -3 and 4 are different, we can conclude that the system has exactly one solution.