solve:
3x + 2y = -11
-3x - 2y = 10
i tried to solve one equation then plug it in the other but its just not happening??
please show work. im so confused???
2007-10-04 18:09:03 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
can some1 explain why there is no solution to this problem??? is it because all the varibles are gone?
2007-10-04 18:14:27 · update #1
so if thats the way it works then shouldn't this problem be no slolution also??
x + 4y = 14
-2x- 8y = -28
2007-10-04 18:25:36 · update #2
Multiply the second equation by -1 to get
3x + 2y = -10
But the first equation says 3x + 2y = -11
3x + 2y can't equal two different things. So, there is no solution. There are no x and y that will make the two equations valid
2007-10-04 18:14:53 · answer #1 · answered by Demiurge42 7 · 0⤊ 0⤋
For x + 4y = 14 and -2x- 8y = -28....
If you multiply the first equation by 2, then add it to the 2nd equation, you should get 0 = 0.
This means the 2 lines are actually the same line.
For -3x + 2y = -11 and -3x - 2y = 10....
If you multiply the first equation by -1, then add it to the 2nd equation, you should get 0 = 21.
This means the 2 lines are parallel.
2007-10-05 01:48:29 · answer #2 · answered by acerflea 1 · 0⤊ 0⤋
ah, there is NO SOLUTION for this problem.
lemme explain.
first:
-3x-2y = 10
-(3x+2y) = 10
3x+2y = -10
There is a claim that 3x + 2y = -10. However, there is also another claim that 3x+2y = -11. Because of these contradictions, there is no solution. if you wanna see i on a graph, then you will see that the two lines are parallel, non-intersecting; this means that there is no solution between these two equations.
2007-10-05 01:13:02 · answer #3 · answered by sorcpwns of S33k3r C0unc1l 3 · 2⤊ 0⤋
3x + 2y = -11 (1)
-3x - 2y = 10 (2)
From (1), we have : y = (-11 - 3x)/2 (3)
Plug (3) into (2), we have : -3x - 2(-11 - 3x)/2 = 10
<=> -3x +11 + 3x = 10
<=> 11 = 10 (this's impossible)
So we conclusion : this equation have no result
2007-10-05 01:17:39 · answer #4 · answered by Tran Trieu Khai 2 · 0⤊ 0⤋
because if you try to eliminate one variable, the other variable also becomes eliminated...
if you add the two equations, you obtain,
0x + 0y = -1, and
0 = -1 is not true bec 0 is not equal to -1, therefore the system is inconsistent or doesn't have solution...
graphically...the two equations you have are equations of parallel lines. and needless to say, parallel lines do not intersect. if they do not intersect, they do not have a common x-value and/or y-value.
when we speak of solution of the system, in graphical terms, those are the points of intersection or the common points of the lines
2007-10-05 01:22:27 · answer #5 · answered by tootoot 3 · 0⤊ 0⤋
This is the equation of two parallel lines,
2007-10-05 01:15:42 · answer #6 · answered by jim m 5 · 0⤊ 0⤋