3x + y = 0
3x - y = 0
A) one B) None C) Infinite
2007-01-20 04:49:07 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
3x + y = 0
3x - y = 0
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6x = 0
6x/6 = 0 / 6
x = 0
The answer is x = 0
Insert the x value into equation 1
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3x + y = 0
3(0) + y = 0
0 + y = 0
y = 0
The answer is y = 0
Insert the y value into equation 1
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Check for equation 1
3x + y = 0
3(0) + 0 = 0
0 + 0 = 0
0 = 0
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Check for equation 2
3x - y = 0
3(0) - 0 = 0
0 - 0 = 0
0 = 0
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The solution set is { 0, 0 }
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2007-01-20 06:47:23 · answer #1 · answered by SAMUEL D 7 · 1⤊ 0⤋
If you read this earlier, I was wrong! So here is the revision. If 3x + y = 0 and 3x-y = 0 then
3x + y must equal 3x -y
3x + y = 3x -y
Subtract 3x from both sides.
Now y = -y
Now add y to each side.
2y = 0
Divide both sides by 2.
y = 0/2 which is 0. So y = 0.
Now plug 0 in for y in the original equation.
3x + 0 = 0 So 3x = 0
Divide each side by 3.
x = 0/3
so x = 0.
There is one answer. (0,0)
2007-01-20 04:58:35 · answer #2 · answered by Anonymous · 0⤊ 0⤋
In fact x and y =0 are the solutions for your sets of equation - one solution only
2007-01-20 04:57:42 · answer #3 · answered by sm bn 6 · 1⤊ 0⤋
we add the two equations and get
6x=0 so x=0
0+y=0
0-y=0
y=0
A)one solution x=y=0
2007-01-20 04:54:32 · answer #4 · answered by Monica 1 · 1⤊ 0⤋
It has one: 0,0.
To see this, add the 2 equations to get 6x=0,
x = 0. Plug this back into either equation to get y=0.
2007-01-20 05:04:18 · answer #5 · answered by steiner1745 7 · 0⤊ 0⤋
A, one solution
since for infinite or none, the slope need to be equal
2007-01-20 04:54:59 · answer #6 · answered by Taras 2 · 1⤊ 0⤋
zero is the answer right? so One solution
2007-01-20 05:11:42 · answer #7 · answered by Cardinals fan 2 · 0⤊ 1⤋
A
0,0
2007-01-20 05:05:50 · answer #8 · answered by ag_iitkgp 7 · 0⤊ 1⤋