find four solutions of the equation 3x-2y=7. how many solution can be found for this equation.
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Given : The equation 3x - 2y = 7
To find: Four solutions of the given equation.
Solution:
- Now the given equation is: 3x - 2y = 7
- Lets put the value of x, we will get the value of y.
- So let x = 0, we get:
3(0) - 2y = 7
y = -7/2
(x,y) = (0,-7/2)
- Let x = 1, we get:
3(1) - 2y = 7
-2y = 4
y = -2
(x,y) = (1,-2)
- Let x = 2, we get:
3(2) - 2y = 7
- 2y = 1
y = -1/2
(x,y) = (2,-1/2)
- Let x = -1, we get:
3(-1) - 2y = 7
- 2y = 7 + 3
- 2y = 10
y = -1/5
(x,y) = (-1,-1/5)
Answer:
So the four solutions are: (0,-7/2), (1,-2), (2,-1/2), (-1,-1/5) and there can be infinite solutions.
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Answer:
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