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Which of the following is a solution to the equation y = 3x - 1: (a) (2, -3) (b) (1, 2) (c) (0, -1) (d) (1/2, 0)
Solution:
We will substitute x-coordinate and y-coordinate in the equation y = 3x - 1 to check if the given points are the solution of the equation.
(a) Substitute x = 2 and y = -3 in y = 3x - 1
-3 = 3 (2) - 1
-3 = 6 - 1
-3 = 5, which is not possible
So, (2, -3) is not a solution of y = 3x - 1
(b) Substitute x = 1 and y = 2 in y = 3x - 1
2 = 3 (1) - 1
2 = 3 - 1
2 = 2
This is true. So, (1, 2) is a solution of y = 3x - 1
(c) Substitute x = 0 and y = -1 in y = 3x - 1
-1 = 3 (0) - 1
-1 = 0 - 1
-1 = -1
This is true. So, (0, -1) is a solution of y = 3x - 1
(d) Substitute x = 1/2 and y = 0 in y = 3x - 1
0 = 3 (1/2) - 1
0 = 3/2 - 1
0 = 1/2, which is not possible.
So, (1/2, 0) is not a solution of y = 3x - 1
Therefore, the solutions of y = 3x - 1 are (1, 2) and (0, -1)
Which of the following is a solution to the equation y = 3x - 1
Summary:
The solutions of y = 3x - 1 are (1, 2) and (0, -1)
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