Solving Pairs of Non-Linear Equations in Two Variables

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

Determine if the point (2,0) is a solution to the following system:

y=2x - 4

y=x² - 4

• Yes, because it works in one equation.

• Yes, because it works in the both equations.

• No, because it works in neither equation.

• No, because it works in only one equation.

Determine if the point (-1, -2) is a solution to the following system:

-4x² + 5y² + 2x - 63y + 108 = 0

x - 2y = -3

• Yes, because it works in one equation.

• Yes, because it works in the both equations.

• No, because it works in neither equation.

• No, because it works in only one equation.

• A (-2,0) (2,0)

• B (-2,0) (1,-3)

• C (0,-2) (-3,1)

• D (0,-4) (0,-2)

Determine the solution to the given linear-quadratic function.

• (0, 0)
• (3, 0)
• (2, -3)
• (-3, 2)

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

y=2x+6

y=x²+4x+3

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• 
• 
• 

Which of the following graphs correctly represents:

y=x²

y=-2x+1

• 
• 
• 
• 

Find the solution(s) to the system.

• (0,-3)(-1,-2)

• (0,-3)

• (-2,0)(2,0)

• No solution

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

• (-4, 2) and (-1, 5)
• (-4, -1) and (2, 5)
• (2, -1 and (-4, 5)
• (-4, 1) and (2, -1)

Find the solution.

• (2,3) and (3,4)
• (-3,-15) and (4,-8)
• (-3,10) and (8,4)
• (-8,3) and (-4,10)