Solving Graphically

Key Questions

• What are common mistakes students make with solving a system of equations graphically?

  Answer:

  See below

  Explanation:

  1. One or both of the equations are not graphed correctly.
  2. Student does not realize that the solution is the intersection of the equations.
  JS · 1 · May 31 2017
• Are there systems of equations that cannot be solved graphically?

  Yes, it is not possible to draw a picture for an equation if it has more than three variables.

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  I hope that this was helpful.

  Wataru · · Oct 20 2014
• How do I find the solution to a system of equations graphically?

  3 possibilities are possible with a system of equations.

  Scenario I - Infinite Solutions (All real numbers)

  The linear equations the same.

  Scenario II - No solution

  The linear equations are parallel so they never touch.

  Scenario III - 1 solution

  The linear equations intersect and the ordered pair is the solution.

  Please see the video example below.

  Lineaer Equation Graphically

  AJ Speller · · Sep 13 2014

• How do I find the solution to a system of equations graphically?
• What are common mistakes students make with solving a system of equations graphically?
• How do I use a graph to solve the system of equations #3x+4y=10# and #x−y=1#?
• How do I use a graph to solve the system of equations #c+3d=8# and #c=4d−6#?
• How do I use a graph to solve the system of equations #4x+3y=7# and #3x+5y=8#?
• How do I use a graph to solve the system of equations #y=2x+1# and #2y=4x+2#?
• How do I use a graph to solve the system of equations #y=1/3x+7/3# and #y=−5/4x+11/4#?
• How do I use a graph to solve the solution of the system of equations #y=−2x+4# and #y=−2x−3#?
• How do I use a graph to solve the solution of the system of equations #y=−2x−4# and #y+4=−2x#?
• Are there systems of equations that cannot be solved graphically?
• How do you prove graphically that there are no/two solutions to #x^2 + y^2 = 1 and x+ y = sqrt 2 +-1/2#?
• How do you solve the system of equations by graphing #y=5x-2, y=-2x+5#?
• How do you solve the system of equations by graphing #x-y=2, 2x=2y+10#?
• How do you solve the system of equations graphing #x=5, 4x+5y=20#?
• How do you solve the system of equations graphing #y=-3, 2x=8#?
• How do you solve the system of equations graphing #x+y=-2, 3x-y=10#?
• How do you solve the system of equations graphing #y=x+2, x-2y=4#?