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

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

• (-1,7) and (1,3)

• (7,-1) and (3,1)

• (1,-7) and (-1,3)

• (-1,7) and (1,-3) 

Solve the system of linear and quadratic equations using substitution:
y = 5
y = 2x² - 16x + 29

• (6, 5) and (2, 5)

• (2, 6)

• (6, 2)

• (5, 6) and (5, 2)

Solve the System using ANY method:

 $x^2-6xy+9y^2\ =\ 0$  

 $x\ -\ y\ =\ 2$  

• (3, 1)

• (1, 3)

• (3, 1) and (1, 3)

• No solution! It is an Inconsistent System.

x² + y² + 2x - 8y - 3 = 0 x + 3y - 1 = 0

#12

• (-5, 2) (-5, -2)

• (-5, -2)

• (1, 0) (-5, 2)

• No Solution

Find the solution.

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

Find the solution.

• (0,7) and (0,-3)
• (2,6) and (7,4)
• (-3,0) and (7,10)
• (-1,5) and (-3,9)

 $x^2+y^2=10$  

 $y=-3x+10$  

Solve the system above.

• (-3, 19)

• (-3, 1)

• (3, 1)

• (0, 10)

Which of the following represents the first step in solving:

y = x² + 3x - 5

y = x + 3

• x² - 3x + 5 = x - 3

• Set the expressions with x equal to each other.

• Add the expressions with x together and set them equal to zero.

• x² + 3x - 5 = 0

#17

• A

• B

• C

• D

Which of the following points can be a solution to the system of equations?

 $y=x^2+9x+13$  

 $y=-x-11$  

• (4, 6)

• (2, -12)

• (-6, -5)

• no solution