SOLUTION: Marks: 2 Solve the system of equations by the best way you think is possible. Put the answer in an ordered pair. 2x - 6y = 6 2x + 3y = 24

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Marks: 2 Solve the system of equations by the best way you think is possible. Put the answer in an ordered pair. 2x - 6y = 6 2x + 3y = 24      Log On


   

Question 469893: Marks: 2
Solve the system of equations by the best way you think is possible. Put the answer in an ordered pair.
2x - 6y = 6
2x + 3y = 24
Found 2 solutions by sofiyac, ewatrrr:
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
2x - 6y = 6
2x + 3y = 24 multiply second one by 2 and add to first
**************
2x - 6y = 6
4x + 6y = 48
*************
6x=54 divide each side by 6
x=9 plug this into either of the original equations and solve for y
2*9-6y=6
18-6y=6
-6y=-12
y=2
so the solution is (9,2)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Solving using the elimination Method

2x - 6y = 6  Green

2x + 3y = 24 Blue



-2x + 6y = -6  ||Multiplying 1st EQ thru by -1 to eliminate x

 2x + 3y = 24

     9y = 18

      y = 2 and x = 9  ( 2x - 6y = 6,  x = 18/2)

Ordered pair (9,2) is the solution for this system