Question

Which of the following ordered pairs is a solution of the line y − 2x = 6?

a.(2, 2)
b.(0, -3)
c.(-3,0)
d.(1, -3) ​

Answer 1

The ordered pair (-3, 0) is a solution of the line y - 2x = 6.

Step-by-step explanation:

To determine which of the given ordered pairs is a solution of the line y - 2x = 6, we can substitute the x and y values from each pair into the equation and check if the equation holds true.

1. For option a (2, 2): y - 2x = 2 - 2(2) = 2 - 4 = -2, which is not equal to 6.
2. For option b (0, -3): y - 2x = -3 - 2(0) = -3, which is not equal to 6.
3. For option c (-3, 0): y - 2x = 0 - 2(-3) = 0 + 6 = 6, which is equal to 6. Therefore, option c is the solution of the line.
4. For option d (1, -3): y - 2x = -3 - 2(1) = -3 - 2 = -5, which is not equal to 6.

Based on this analysis, option c (-3, 0) is the only ordered pair that is a solution of the line y - 2x = 6.