SOLUTION: Solve the equations graphically if possible: { x + 3y = -6 { 2x - 4y = -12 { x = 4 + y { y = 3 + x

Algebra ->  Graphs -> SOLUTION: Solve the equations graphically if possible: { x + 3y = -6 { 2x - 4y = -12 { x = 4 + y { y = 3 + x      Log On


   

Question 437740: Solve the equations graphically if possible:
{ x + 3y = -6
{ 2x - 4y = -12



{ x = 4 + y
{ y = 3 + x
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Re: determining the coordinates to plot:

 1)Letting x = 0 and y = 0 to determine those ordered pairs is very common

    (as done in the following: for ex. finding (0,-2)and (-6,0)

OR

 2)One may 'plug-in' any value of x to determine corresponding y-value

Most'plug-in' an 'easy' x-value..may even be a fraction...if that results in an 'easy' y



 x + 3y = -6   Points (0,-2) and (-6,0) on this line (Green)

 2x - 4y = -12 Points (0,3) and (-6,0) on this line  Blue

Plot points, connect with their respective lines.

Point of intersection (-6,0): this ordered pair is the solution for this system





x = 4 + y  OR  y = x-4

y = 3 + x  OR  y = x+3