Solving Systems

Use either substitution or elimination to solve the following system of equations. Put answer in coordinate form. (Ex: (a,b).

-2x+4y=-2\ and\ 3x-2y=11

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations.

• (-6, 1)

• (-12, -12)

• (1, -6)

• No solution

• Infinite solutions

Tags

CCSS.8.EE.C.8B

Solve the System: \[x^2-xy=20\] \[-2x^2+3xy=-44\]

• (4, 1) and (-4, -1)

• (4, -1) and (-4, 1)

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

• No solution! It is an Inconsistent System.

Tags

CCSS.HSA.REI.C.7

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Tags

CCSS.8.EE.C.8A

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)

Tags

CCSS.HSA.REI.C.7

Create the System of Nonlinear Equations that fits the scenario:

Find two numbers whose sum is 9 and whose product is -36.

• x+y = 9

  xy = -36

• x+y = 9

  x/y = -36

• x-y = 9

  xy = -36

• x-y = 9

  x/y = -36

Tags

CCSS.HSA.REI.C.7

Create the System of Nonlinear Equations that fits the scenario:

Given a rectangle whose perimeter is 56 cm and whose area is 192, create the system!

• 2L + 2W = 192

  LW = 56

• 2L + 2W = 56

  LW = 192

• 4L = 56

  LW = 192

• 4W = 56

  LW = 192

Tags

CCSS.8.EE.C.8C

• (2, 3) and (2, -3)

• (-2, 3) and (-2, -3)

• (2, 3), (2, -3), (-2, 3) and (-2, -3)

• No solution! It is an Inconsistent System

Tags

CCSS.HSA.REI.C.7

Solve the following system using ANY method.

• 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)

Tags

CCSS.HSA.REI.C.7

Solve the system of equations.

• (-7, 8)

• (-7, -6)

• (8, -7)

• No solution

• Infinite solutions

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6