The solution to each given system is shown on the graphs given as: 9. (1 , -1); 10. (5 , -3); 11. (-1 , 2); 12. No solution.
What is the solution of a system of equations?
To find the solution to a system of equations, we simply have to find the coordinates of the point on a graph where the two lines of the equations of the system intersect each other.
9. In figure 1, the green line is y = -3x + 2, the blue line is x = 1. They intersect at (1 , -1), which is the solution to the system of equations.
10. In figure 2, the green line is y = -6/5x + 3, the blue line is y = -2/5x - 1. They intersect at (5 , -3), which is the solution to the system of equations.
11. In figure 3, the green line is y = 2, the blue line is x = -1. They intersect at (-1 , 2), which is the solution to the system of equations.
12. In figure 2, the line shown represents x + y = -1, and is the same for y = -x - 1. Thus, the system has no solution.