Solve the system
x+4y = 2
3x+12y = 6
If the system has infinitely many solutions, express your answer in the form x=x and y as a function of x
x=
y=
2006-11-29 18:52:15 · 6 answers · asked by AC 1 in Science & Mathematics ➔ Mathematics
x=x
y = (2 - x)/4
2006-11-29 18:58:03 · answer #1 · answered by jacinablackbox 4 · 0⤊ 0⤋
x + 4y = 2
x + 4y - 4y = 2 - 4y
x = 2 - 4y
- - - - - - - - - - -
y values
x + 4y = 2
x + 4y - x = 2 - x
4y = 2 - x
4y/4 = 2/4 - x/4
y = 1/2 - 1/4x
- - - - - - - - - -
3x + 12y = 6
3x + 12y - 12y = 6 - 12y
3x = 6 - 12y
3x/3 = 6/3 - 12y/3
x = 2 - 4y
- - - - - - - -
y values
3x + 12y = 6
3x + 12y - 3 = 6 - 3x
12y = 6 - 3x
12y/12 = 6/12 - 3x/12
y = 1/2 - 1/4y
- - - - - - - -
x = 2- 4y are the same for both equations
y = 1/2 - 1/4x are the same for both equations
These two equations are on the same line and there are infinitely many solutions.The equations are dependent.
- - - - - -s-
2006-11-30 05:02:26 · answer #2 · answered by SAMUEL D 7 · 0⤊ 0⤋
Dude you should really do your own homework.
Solve the first equation for x. (x=2-4y)
Substitute the value for x (that is 2 - 4y) into the second equation and solve for y. This will give you a number.
You will have to do the rest.
actually y= (2+x)/4
getting x is relatively easy
2006-11-30 02:58:51 · answer #3 · answered by michalakd 5 · 0⤊ 0⤋
the system will have any number of solutions as the lines are coincidental as per y=(2-x)/4 or
x=2(1-2y)
2006-11-30 03:13:48 · answer #4 · answered by raj 7 · 0⤊ 0⤋
x = -4y + 2
and
y = -1/4x + 1/2
2006-11-30 03:08:54 · answer #5 · answered by interlude 4 · 0⤊ 0⤋
the only solution/answer=undetemined
2006-11-30 02:58:38 · answer #6 · answered by eng. samer 1 · 0⤊ 1⤋