My teacher gave me this and also said there may be no soultion so don't strees too hard over it. thanks :)
4x + 2y = 6y + 1x
2007-10-12 10:43:47 · 13 answers · asked by AHauntingNearU 2 in Science & Mathematics ➔ Mathematics
4x + 2y = 6y + 1x
Simplify by subtracting x and subtracting 2y from both sides :
3x = 4y
Divide both sides by 3 :
x = 4y / 3
That's solved the equation for x.
You can now put in any value you like for y
and you will be able to calculate the value for x.
Going back to 3x = 4y,
if you divide both sides by 4 you get :
y = 3x / 4
which is now solved for y.
Again, put in any value you like for x
and you can calculate y.
There are an infinite number of solutions.
2007-10-12 10:57:56 · answer #1 · answered by falzoon 7 · 0⤊ 0⤋
group each variable on opposite sides since you have them on both sides.
4x + 2y = 6y + 1x
-1x - 2y | -2y -1x
--> 3x = 4y
(3/4)x = y
Basically x can be any number between - infinity and +infinity and also imaginary numbers with i. y will always just be 3/4 of x.
So x = {real and imaginary numbers}
If you are looking for integers only, then x has to be +/- multiples of 4. then y would just be 3/4 of that.
x = 4, y = 3 , x = -12, y= -9 and x = 0, y = 0 etc.
2007-10-12 10:59:39 · answer #2 · answered by elecbass100 3 · 0⤊ 0⤋
It isn't that there's *no* solution... it's that there are *infinitely many* solutions!
4x + 2y = 6y + x. Adding (-x - 2y) to both sides,
3x = 4y. Dividing by 4,
(3/4)x = y.
You could pick any number you want for x, and if y = 3/4 of that number, then (x, y) is a solution. [As examples, (1, 3/4), (4, 3), (0, 0), and (-8, -6) are all valid solutions to this equation.]
2007-10-12 10:53:03 · answer #3 · answered by Anonymous · 0⤊ 0⤋
This is the equation of a line thru the origin. What do you want to do with it?
4x + 2y = 6y + 1x
3x - 4y = 0
2007-10-12 10:48:49 · answer #4 · answered by Northstar 7 · 0⤊ 0⤋
X = 4 and Y = 3
16 + 6 = 18 + 4 which is 22 = 22.
This is one of many possible answers
2007-10-12 10:55:22 · answer #5 · answered by cyswxman 7 · 0⤊ 0⤋
4x + 2y = 6y + 1x
3x=4y
x =4y/3
So x= 4 and y= 3 is one of an infinite number of solutions.
This is called a Diophantine equation.
2007-10-12 10:54:41 · answer #6 · answered by ironduke8159 7 · 0⤊ 0⤋
You need two equations to solve for two variables, just like you need one equation to solve for 1 variable
2007-10-12 10:56:31 · answer #7 · answered by eboyer32 2 · 0⤊ 0⤋
Get all the x terms on one side and all the y terms on the other side. You can solve this for y in terms of x, or x in terms of y, but no exact, numbered solution.
2007-10-12 10:47:50 · answer #8 · answered by Anonymous · 0⤊ 0⤋
damn, it is so complicated!!!! D: it truly is a shot in the ineffective of night, yet...assuming terrific suited order-of-operations, 15? (THEY under no circumstances arranged ME FOR THIS IN GRAD college. A pharmacologist should not be predicted to renowned trouble-loose algebra, I advise, sheesh! D: *le sob*)
2016-10-22 04:47:07 · answer #9 · answered by ? 4 · 0⤊ 0⤋
4x+2y=6y+1x or (x)
-x -x
3x+2y=6y
-2y -2y
3x=4y
then ummm yah...
2007-10-12 10:49:58 · answer #10 · answered by questionkey 2 · 0⤊ 0⤋