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) (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(35256) (Show Source):
You can put this solution on YOUR website!
Start with the given equation
Let's test the first solution (3,1):
Plug in and
Simplify. Since the two sides of the equation are not equal, this means (3,1) is not a solution to
-------Now lets test another solution-------
Let's test the second solution (0,-4):
Plug in and
Simplify. Since the two sides of the equation are equal, this means (0,-4) is a solution to
-------Now lets test another solution-------
Let's test the third solution (-4,0):
Plug in and
Simplify. Since the two sides of the equation are not equal, this means (-4,0) is not a solution to
-------Now lets test another solution-------
Let's test the fourth solution (-3,-7):
Plug in and
Simplify. Since the two sides of the equation are equal, this means (-3,-7) is a solution to
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Answer:
So the following ordered pairs are solutions to
(0,-4) and (-3,-7)
Now let's graph the equation and plot the points (3,1), (0,-4), (-4,0), and (-3,-7)
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 .
Notice the other possible solutions are points that do not lie on the line. Those ordered pairs do not satisfy the equation
So the answer is C)
Answer by cheesey(22) (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) (Show Source):
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