y = 3x + 6

y = -13x - 4
infinite solutions, one solution or no solution

1 answer

To determine the number of solutions for the system of equations given, we can compare the slopes of the two equations. The slopes of the equations 3x + 6 and -13x - 4 are both non-zero, indicating that the lines are not parallel. When non-parallel lines intersect, they have one solution. Therefore, the system of equations has one solution.