SOLUTION: im trying to do the elimination method for this problem: 2x+6y=8 3x+9y=12 please help!> thanks!

Question 675286: im trying to do the elimination method for this problem: 2x+6y=8
3x+9y=12
please help thanks!
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
2x+6y=8
3x+9y=12
...
Multiply the first equation by 3 and the second by -2, to get
3(2x+6y=8)
-2(3x+9y=12)
...
6x + 18y = 24
-6x - 18y = -24
...
Add the equatins
6x + -6x + 18y + -18y = 24 + -24
0 = 0
...
Meaning that these are the same line, intersecting at every point.
It is a dependent system.
...
CHECK
2x + 6y = 8
6y = -2x + 8
y = (-2/6)x + (8/6)
y = (-1/3)x + (4/3)-->linear equation
...
3x+9y=12
9y = -3x + 12
y = (-3/9)x + 12/9
y (-1/3)x + 4/3 --> same linear equation
Hence, they are the same line, where the solution is the entire line.
.....................
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.

RELATED QUESTIONS
I am completely confused on this problem! Someone please help me to solve this step by... (answered by algebrahouse.com)

hi, can you please help me solve this problem: using the elimination method: 1.... (answered by MathLover1)

Please help with this problem Im trying to find x, and y in the equations x=-4y and... (answered by richwmiller)

I am trying to solve this problem by using the elimination method. 0.05x + 0.025y = 11 (answered by AAfter Search)

solve using the elimination method 3x+6y=3... (answered by TimothyLamb)

Hi I am trying to figure out why I keep coming up with a (-2) for x. My book says the... (answered by josmiceli)

please help me with this problem! solve by the elimination method. 2x + 3y = 5 4x +... (answered by jorel1380)

I am trying to help my son without a textbook because his school does not supply... (answered by ewatrrr,josgarithmetic)

Graph using elimination 2x+6y=8... (answered by stanbon)