SOLUTION: 14. Which of the ordered pairs (3, 1), (0, –4), (–4, 0), (–3, –7) are solutions for the equation x – y = 4? A) (0, –4), (–4, 0), and (–3, –7) B) (–4, 0) and (–3, –7) C) (0,

Algebra ->  Algebra  -> Functions -> SOLUTION: 14. Which of the ordered pairs (3, 1), (0, –4), (–4, 0), (–3, –7) are solutions for the equation x – y = 4? A) (0, –4), (–4, 0), and (–3, –7) B) (–4, 0) and (–3, –7) C) (0,       Log On

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Question 106638: 14. Which of the ordered pairs
(3, 1), (0, –4), (–4, 0), (–3, –7)
are solutions for the equation x – y = 4?
A) (0, –4), (–4, 0), and (–3, –7)
B) (–4, 0) and (–3, –7)
C) (0, –4) and (–3, –7)
D) (3, 1) and (–4, 0)

Found 4 solutions by elima, jim_thompson5910, cheesey, taydab:
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
You need to plug in the values given for x and y to find which ones work;
x – y = 4
0-(-4)=4
4=4
One of the pairs is (0,-4)
-3-(-7)=4
-3+7=4
4=4
so (-3,-7) works also
c)(0,-4); (-3,-7)
:)

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!

x-y=4 Start with the given equation


Let's test the first solution (3,1):


%283%29-%281%29=4 Plug in x=3 and y=1


2=4 Simplify. Since the two sides of the equation are not equal, this means (3,1) is not a solution to x-y=4



-------Now lets test another solution-------



Let's test the second solution (0,-4):


%280%29-%28-4%29=4 Plug in x=0 and y=-4


4=4 Simplify. Since the two sides of the equation are equal, this means (0,-4) is a solution to x-y=4



-------Now lets test another solution-------



Let's test the third solution (-4,0):


%28-4%29-%280%29=4 Plug in x=-4 and y=0


-4=4 Simplify. Since the two sides of the equation are not equal, this means (-4,0) is not a solution to x-y=4



-------Now lets test another solution-------



Let's test the fourth solution (-3,-7):


%28-3%29-%28-7%29=4 Plug in x=-3 and y=-7


4=4 Simplify. Since the two sides of the equation are equal, this means (-3,-7) is a solution to x-y=4


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Answer:
So the following ordered pairs are solutions to x-y=4

(0,-4) and (-3,-7)

Now let's graph the equation x-y=4 and plot the points (3,1), (0,-4), (-4,0), and (-3,-7)
drawing%28900%2C900%2C-10%2C10%2C-10%2C10%2C%0D%0Agraph%28900%2C900%2C-10%2C10%2C-10%2C10%2Cx-4%29%2C%0D%0A%0D%0Acircle%283%2C1%2C0.08%29%2C%0D%0Acircle%283%2C1%2C0.10%29%2C%0D%0Acircle%280%2C-4%2C0.08%29%2C%0D%0Acircle%280%2C-4%2C0.10%29%2C%0D%0Acircle%28-4%2C0%2C0.08%29%2C%0D%0Acircle%28-4%2C0%2C0.10%29%2C%0D%0Acircle%28-3%2C-7%2C0.08%29%2C%0D%0Acircle%28-3%2C-7%2C0.10%29%2C%0D%0Agreen%28circle%280%2C-4%2C0.05%29%29%2C%0D%0Agreen%28circle%280%2C-4%2C0.08%29%29%2C%0D%0Agreen%28circle%28-3%2C-7%2C0.05%29%29%2C%0D%0Agreen%28circle%28-3%2C-7%2C0.08%29%29%29
Here we can see that the points (0,-4) and (-3,-7) lie on the line (they are the green points). These are the solutions to the equation x-y=4.
Notice the other possible solutions are points that do not lie on the line. Those ordered pairs do not satisfy the equation x-y=4


So the answer is C)

Answer by cheesey(22) About Me  (Show Source):
You can put this solution on YOUR website!
You can plug in the ordered pairs to check.
x - y = 4 (What combinations when summed gives four?)
(3, 1) => 3 - 1 = 2 NOT! 4
(0, -4) => 0 - (-4) = 0 + 4 = 4 <=
(-4, 0) => -4 - 0 = -4 NOT 4
(-3, -7)=> -3 - (-7) = -3 + 7 = 4 <=
Answer is C.

Answer by taydab(1) About Me  (Show Source):
You can put this solution on YOUR website!
b)(-4,0) and (-3,-7)