4x+4y=3
y=-x
2006-12-04 09:20:30 · 6 answers · asked by Elsa R 1 in Science & Mathematics ➔ Mathematics
There is no solution.
2006-12-04 09:59:32 · answer #1 · answered by Anonymous · 1⤊ 0⤋
So, x=-y by diving by -1
Then 4(-y) + 4y = 3
so
-4y +4y = 3
0=3
no solution
The same for x
-4x + 4x = 3
so 0=3 and no solution
2006-12-04 09:24:20 · answer #2 · answered by ╦╩╔╩╦ O.J. ╔╩╦╠═ 6 · 0⤊ 0⤋
This is easy: substitute the -x from the bottom for the y in the top one and solve.
you get: 4x-4x=3
which reduces to 0=3
this means that the lines are parallel and are not the same line (they never intersect).
Also, if you end up with a statement like 0=0, the lines are parallel and are the same line.
2006-12-04 09:25:53 · answer #3 · answered by Scooter_MacGyver 3 · 1⤊ 1⤋
4x+4y=3
y=-x
There is no solution these are parallel lines. both have slope m=-1
4x-4x=3
0=3
2006-12-04 09:34:11 · answer #4 · answered by yupchagee 7 · 0⤊ 0⤋
put y=-x in 4x+4y=3
4x-4x=3
0=3
which is not true
so this system of
equation is inconsistent
2006-12-04 09:25:06 · answer #5 · answered by Dupinder jeet kaur k 2 · 1⤊ 1⤋
If y = -x
4x + 4(-1) = 3
4x = 3 +4
4x = 7
x = 7/4
Check:
y = -x
y = -7/4
Solution: (7/4; -7/4), but system is null.
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2006-12-04 09:25:38 · answer #6 · answered by aeiou 7 · 0⤊ 4⤋