Answer:
(1) (x, y) = (any value of x, (3/2)x + 1/2)
(2) (x, y) = (any value of x, (1/4)x + 13/4)
(3) (x, y) = (any value of x, x)
(4) (x, y) = (any value of x, (2/3)x - 1)
(5) (x, y) = (any value of x, 4x + 3)
Step-by-step explanation:
To find the ordered pair for each formula, we need to solve for x and y.
For 3x - 2y = -1, let's solve for y:
3x - 2y = -1
-2y = -3x - 1
y = (3/2)x + 1/2
For -x + 4y = 13, let's solve for y:
-x + 4y = 13
4y = x + 13
y = (1/4)x + 13/4
For -5x + 5y = 0, let's solve for y:
-5x + 5y = 0
5y = 5x
y = x
For 2x - 3y = 3, let's solve for y:
2x - 3y = 3
-3y = -2x + 3
y = (2/3)x - 1
For y = 4x + 3, we already have y expressed in terms of x.
Now we have the following ordered pairs:
We cannot determine a specific ordered pair without a value for x, but we can use any value of x to find a corresponding value of y.
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Answers & Comments
Answer:
(1) (x, y) = (any value of x, (3/2)x + 1/2)
(2) (x, y) = (any value of x, (1/4)x + 13/4)
(3) (x, y) = (any value of x, x)
(4) (x, y) = (any value of x, (2/3)x - 1)
(5) (x, y) = (any value of x, 4x + 3)
Step-by-step explanation:
To find the ordered pair for each formula, we need to solve for x and y.
For 3x - 2y = -1, let's solve for y:
3x - 2y = -1
-2y = -3x - 1
y = (3/2)x + 1/2
For -x + 4y = 13, let's solve for y:
-x + 4y = 13
4y = x + 13
y = (1/4)x + 13/4
For -5x + 5y = 0, let's solve for y:
-5x + 5y = 0
5y = 5x
y = x
For 2x - 3y = 3, let's solve for y:
2x - 3y = 3
-3y = -2x + 3
y = (2/3)x - 1
For y = 4x + 3, we already have y expressed in terms of x.
Now we have the following ordered pairs:
(1) (x, y) = (any value of x, (3/2)x + 1/2)
(2) (x, y) = (any value of x, (1/4)x + 13/4)
(3) (x, y) = (any value of x, x)
(4) (x, y) = (any value of x, (2/3)x - 1)
(5) (x, y) = (any value of x, 4x + 3)
We cannot determine a specific ordered pair without a value for x, but we can use any value of x to find a corresponding value of y.