Solving Linear-Quadratic Systems Answers

The first step in determining the solution to the system of equations, y = –x2 – 4x – 3 and y = 2x + 5, algebraically is to set the two equations equal as –x2 – 4x – 3 = 2x + 5. What is the next step?

Which line will have no solution with the parabola y – x + 2 = x2?

Which represents the solution(s) of the system of equations, y + 4 = x2 and y – x = 2? Determine the solution set by graphing.

Which represents the solution(s) of the graphed system of equations, y = x2 + x – 2 and y = 2x – 2?

Which graph most likely shows a system of equations with no solutions?

Which graph most likely shows a system of equations with two solutions?

Which parabola will have one real solution with the line y = x – 5?

Which represents the solution(s) of the system of equations, y = –x2 + 6x + 16 and y = –4x + 37? Determine the solution set algebraically.

Which represents the solution(s) of the system of equations, y = x2 – 4x – 21 and y = –5x – 22? Determine the solution set algebraically.

Which graph most likely shows a system of equations with one solution?