Which Of the Following Is a Solution to the Equation y = 3x - 1


Question: 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)

To find the solution to the eqution y = 3x - 1 wit the options: (a) (2, -3)      (b) (1, 2)      (c) (0, -1)      (d) (1/2, 0), Let us substitute the x and y and verify.

Answer: The solutions of y = 3x - 1 are (1, 2) and (0, -1) 

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.

Explanation:

(a) Substitute 2 for x and -3 for y in y = 3x - 1

-3 = 3 (2) - 1

-3 = 6 - 1

-3 = 5

This is not true. So, (2, -3) is not a solution of y = 3x - 1

(b) Substitute 1 for x and 2 for y 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 0 for x and -1 for y 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 1/2 for x and 0 for y in y = 3x - 1

0 = 3 (1/2) - 1

0 = 3/2 - 1

0 = 1/2

This is not true. 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)