Final answer:
To determine which ordered pair is a solution of the equation y=2x-72, we need to substitute the x and y values of each ordered pair into the equation and check if it holds true. The ordered pair (-11,2) is the only solution of the equation.
Step-by-step explanation:
To determine which ordered pair is a solution of the equation y=2x-72, we need to substitute the x and y values of each ordered pair into the equation and check if the equation holds true. Let's go through each option:
a. (2,-3): Substitute x=2 and y=-3 into the equation. We get -3 = (2)(2) - 72, which simplifies to -3 = -68. This is not true, so (2,-3) is not a solution.
b. (-3,2): Substitute x=-3 and y=2 into the equation. We get 2 = (2)(-3) - 72, which simplifies to 2 = -6 - 72. This is not true, so (-3,2) is not a solution.
c. (2,11): Substitute x=2 and y=11 into the equation. We get 11 = (2)(2) - 72, which simplifies to 11 = 4 - 72. This is not true, so (2,11) is not a solution.
d. (-11,2): Substitute x=-11 and y=2 into the equation. We get 2 = (2)(-11) - 72, which simplifies to 2 = -22 - 72. This is true, so (-11,2) is a solution.
Therefore, the ordered pair (-11,2) is the only solution of the equation y=2x-72.