Solving multi-step problems using non-linear equations in two or more variables

Solve the system above.

• (1,5)

• (5,-2)

• (-2,5)

• (5,1)

Graph the following equations:

y= - 2x - 3

y=x²-10x +22

• 
• 
• 
• 

 $y-3=\left(x-1\right)^2$ 
  $2x+y=5$  
Solve the system by graphing on Desmos.

• (-1,7) and (1,3)

• (7,-1) and (3,1)

• (1,-7) and (-1,3)

• (-1,7) and (1,-3) 

Determine the number of solutions to this system of equations.

• No solution

• 1 solution

• 2 solutions

• infinite solutions

• A
• B
• C
• D

Solve the system of equations by graphing: y = x^2 - 3x + 1 and y = 2x - 2.

• The point of intersection is (1, 0).

• The point of intersection is (2, 2)

• The point of intersection is (0, -1)

• The point of intersection is (1, 2)

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

Graph the following equations:

y= - 2x - 3

y=x²-10x +22

• 
• 
• 
• 

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

y=2x+6

y=x²+4x+3

• 
• 
• 
• 

• The solution to the system is (30, 10).

• The solution to the system is (1, 3).

• The solution to the system is (10, 30).

• There is no solution to the system.