Solving Pairs of Non-Linear Equations in Two Variables

The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?

• One

• Two

• Three

• Four

• No Solution

What are the solutions to the system of equations graphed below?

• (2, 0)

• (2, 0), (-2, 0)

• (-2,0)

• (0, -4), (0,4)

• No Solution

Which of the following is a solution to the system

5x - 4y - 11 = 0

y = x² - x - 6

• (1, 8)

• (0, 4)

• (-1, -4)

• (2, 0)

• No Solution

If a nonlinear system contains a linear function that never touches the quadratic function, that system has...

• 2 solutions

• 1 solution

• No solutions

• Infinite solutions

Which graph could be used to find the solution to the system of equations show below:

y=2x+6

y=x²+4x+3

• 
• 
• 
• 

Solve the following system of equations:

(Select each correct solution)

x + 2y = -6

y = x² + 4x + 1

• (-1.219, -2.390)

• (-2.390, -1.219)

• (-3.281, -1.360)

• (-1.360, -3.281)

• No Solution

y² - x = 4

x² + y² = 4

• (0, 2), (0, -2)

• (-1, √3), (-1, -√3)

• (0, 2), (0, -2), (-1, √3), (-1, -√3)

• (2, 0), (0, -2), (√3, ±1)

Solve using elimination. 

• no solution
• (2,3), (2, -3), (-2,3), and (-2,-3)
• (3,5), (-3,-5), (3, -5), and (-3,5)
• (2,3), (-2,-3), (3,5), and (-3,-5)

Solve the following system using elimination.

• no solution
• (3,4), (-3,-4), (3, -4), and (-3, 4)
• (4,3), (-4,3), (4, -3), and (-4, -3)
• (3,4) and (4,3)

Find the solution(s) to the system.

• (0,-3) and (1,-2)

• (0,-3)

• (-2,0) and (2,0)

• No solution