i have to do this problem and i cant figure out the answer. i can use either substitution or elimination plz help.
2y = -4x
4x + 2y = -11
2007-11-30 12:01:08 · 12 answers · asked by tinkerbell 1 in Science & Mathematics ➔ Mathematics
I'm going to use substitution.
2y = -4x
4x + 2y = -11
Start with the first equation:
2y = -4x
Divide both sides by 2 in order to solve for y:
y = -2x
Now plug that y into the second equation:
4x + 2(-2x) = -4x
And solve for x:
4x - 4x = -11
0 = -11
This is not true so there are no solutions to this system of equations.
2007-11-30 12:06:38 · answer #1 · answered by whitesox09 7 · 0⤊ 0⤋
Use substitution:
For (2y = -4x) try to get y by itself. by dividing everything by 2 so you'll get:
y = -2x
Now:
4x + 2y = -11
Because y = -2x (from the above equation), you can replace the y's from from (4x + 2y = -11) with -2x so you'll get:
4x + 2(-2x) = -11
Solve this with basic algebra:
4x - 4x = -11
Now 4x - 4x is simply ZERO so this problem has no solution.
2007-11-30 12:08:53 · answer #2 · answered by รզlεսռց ☆ 6 · 0⤊ 0⤋
Manipulate the first equation, 2y=-4x.
y=-2x
Substitute this into the second equation.
4x+2(-2x)=-11
4x+-4x=-11
0=-11
This is a false statement, therefore the answer is "no solution."
2007-11-30 12:09:14 · answer #3 · answered by lhvinny 7 · 0⤊ 0⤋
One of the equations is incorrect, because substitution gives an absurd result. Is it possible that the 1st equation is actually y = -4x? If that is the case, or any other change in either of the equations would yield a solution by substitution.
2007-11-30 12:14:47 · answer #4 · answered by stvenryn 4 · 0⤊ 1⤋
2y = -4x
2y/2 = -4x/2
y = -2x
4x + 2y = -11
4x + 2(-2x) = -11
4x -4x = -11
0 = -11
You can't solve this system because the two equation do not intersect each other.
Hope this helps :)
2007-11-30 12:08:03 · answer #5 · answered by Hannah 4 · 0⤊ 0⤋
1) 2y = -4x
4x + 2y = 0
2) 4x + 2y = -11
Lines are parallel - no solution
2007-11-30 12:08:21 · answer #6 · answered by Anonymous · 1⤊ 0⤋
2y = -4x
2y / 2 = -4x/2
y = -2x
4x + 2y = -11
4x + 2y - 4x = -11 - 4x
2y /2 = -11/2 - 4x/2
y = -11/2 - 2x
2007-11-30 12:07:44 · answer #7 · answered by (: 3 · 0⤊ 2⤋
There's no answer.
If
2y=-4x
4x+2y=-11
So:
2y+4x = 0
2y+4x = -11
which is inconsistent , therefore no solution.
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2007-11-30 12:06:46 · answer #8 · answered by Anonymous · 0⤊ 0⤋
Substituion
2y = -4x
y=-2x
4x + 2(-2x) = -11
0x=-11
Not possible to solve
2007-11-30 12:06:15 · answer #9 · answered by Anonymous · 0⤊ 0⤋
y=x+2.......(i) y=3x-2......(ii) from (i) we get x+2=y => x=y-2..........(iii) putting the value x=y-2 in (ii) y=3(y-2)-2 => y=3y-6-2 => y-3y=-8 =>-2y=-8 => 2y=8 (the two facets multiply by using -a million) => y=8/2 => y=4 putting value y=4 in (iii) we get x=4-2 x=2 so x=2 and y=4
2016-09-30 08:41:22 · answer #10 · answered by edgmon 4 · 0⤊ 0⤋