In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point. We can graph a parabola with a different vertex.

3 Answers. (3,2) isn’t a solution of the system of equations.

Since x=3 is a vertical line, there is no y-intercept and the slope is undefined.

If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time.

intersection region

Substitute the point into each equation and see if the inequalities hold true. The first inequality is true, let’s test the second. This inequality is also true, therefore (-9, 0) is a solution.

The given system of inequalities are: The line with y-intercept 3 is the boundary line for the top equation. The solution set for the top inequality is the upper half-plane of this line.

The solution to a system of linear inequality is the region where the graphs of all linear inequalities in the system overlap.

1. Isolate the variable y in each linear inequality.
2. Draw and shade the area above the borderline using dashed and solid lines for the symbols > and ≥ respectively.

To see if an ordered pair is a solution to an inequality, plug it into the inequality and simplify. If you get a true statement, then the ordered pair is a solution to the inequality. If you get a false statement, then the ordered pair is not a solution.

Any equation that cannot be written in this form in nonlinear. The substitution method we used for linear systems is the same method we will use for nonlinear systems. We solve one equation for one variable and then substitute the result into the second equation to solve for another variable, and so on.