Question

Determine whether the statement is true or false. If the statement is false, make the necessary changes to produce a true statement. The ordered pair (-2,8) satisfies the equation 6x + 2y 20. %3D Choose the correct answer below.

A. This statement is true.
B. This statement is false. The ordered pair (-2,8) satisfies the equation 6x +2y = 4.
C. This statement is false. The ordered pair (- 2,8) satisfies the equation 6x + 2y = -9.
D. This statement is false. The ordered pair (8, - 2) satisfies the equation 6x + 2y = 20.

Answer 1

The statement is false. The ordered pair (-2,8) does not satisfy the equation 6x + 2y = 20.

Step-by-step explanation:

The statement is false. To check if the ordered pair (-2, 8) satisfies the equation 6x + 2y = 20, substitute x = -2 and y = 8 into the equation:

6(-2) + 2(8) = 20

-12 + 16 = 20

4 = 20

Since 4 is not equal to 20, the statement is false. Therefore, the correct statement is: The ordered pair (-2, 8) does not satisfy the equation 6x + 2y = 20.