Hi,

finding the solution for the following linear system.

y=-4x+4

y=-x-5

  -x-5 = -4x+4

    -9 = -3x

      x = 3  and y = -8

Ordered pair (3,-8) is th esolution for this system



CHECKING our Answer***

y=-4x+4

-8 = -4*3 + 4 = -8 

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
 ....1

.....2.writ both in standard form





....1

.....2





 
Solved by pluggable solver: Solve the System of Equations by Graphing


  

  

  Start with the given system of equations:

  

  

  

  

  

  

  

  

  

  

  In order to graph these equations, we need to solve for y for each equation.

  

  

  

  

  So let's solve for y on the first equation

  

  

   Start with the given equation

  

  

  

    Subtract  from both sides

  

  

  

   Rearrange the equation

  

  

  

   Divide both sides by 

  

  

  

   Break up the fraction

  

  

  

   Reduce

  

  

  

  Now lets graph  (note: if you need help with graphing, check out this solver)

  

  

  

   Graph of 

  

  

  

  

  So let's solve for y on the second equation

  

  

   Start with the given equation

  

  

  

    Subtract  from both sides

  

  

  

   Rearrange the equation

  

  

  

   Divide both sides by 

  

  

  

   Break up the fraction

  

  

  

   Reduce

  

  

  

  

  

  Now lets add the graph of  to our first plot to get:

  

  

   Graph of (red) and (green)

  

  

  From the graph, we can see that the two lines intersect at the point (,) (note: you might have to adjust the window to see the intersection)

 

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