SOLUTION: 2x+3y=8 3x+2y=612 x=.... y=.....

Question 1084306: 2x+3y=8
3x+2y=612
x=.... y=.....
Found 2 solutions by Boreal, htmentor:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
2x+3y=8
3x+2y=612
multiply top by 3 and bottom by -2 to eliminate x
6x+9y=24
-6x-4y=-1224
5y=-1200
y=-240
get x from first
2x-720=8
2x=728
x=364
check in second
1092-480=612
checks
(364, -240)
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
2x+3y=8 [1]
3x+2y=612 [2]
If we multiply [1] by 3/2 and subtract it from [2] we are left with:
(-5/2)y = 600
y = -240
Substitute back into either [1] or [2] to get x:
2x + 3(-240) = 8
x = (8 + 720)/2 = 364
x = 364, y = -240
RELATED QUESTIONS
Solve 2x+3y=27 3x+2y=8 X-y=1... (answered by Alan3354)
Help me!!! Solve the equation for y: 2x+3y=6 3x+4y=12... (answered by strawberry)
solve the following equations for x and y by elimination 3x + 3y=0 2x -... (answered by jennywecas)
How would you solve these problems. x+3y-8=0, 2x-3y=-8 2/3x-4/3y=2,... (answered by Alan3354)
solving for "y" x+2y=6 x-3y=12 2x-5y=0 2x-3y=-3 4x+y=3... (answered by waynest)
What is the solution to 1. y = 3x � 8 y = 4 � x 2. x + y = 0 3x + y = -8 (answered by Alan3354)
2x + 3y − 6z = −11 x − 2y + 3z = 8 3x + y = 9... (answered by Alan3354)
Maximize P=3x + 2y Subject to 2x +3y ≤ 12 (answered by math_tutor2020)
2x-3y=17... (answered by ikleyn)