determine which ordered pair is a solution of y = 5x + 10.
a. -15, 5
b. 2, 0
c. -1, -5
d. 3, 25
We can find the solution by plugging the x value in each ordered pair into the equation and checking if the resulting value of y matches the given ordered pair.
a. y = 5(-15) + 10 = -75 + 10 = -65, so the ordered pair is (-15, -65) and not a solution.
b. y = 5(2) + 10 = 10 + 10 = 20, so the ordered pair is (2, 20) and not a solution.
c. y = 5(-1) + 10 = -5 + 10 = 5, so the ordered pair is (-1, 5) and not a solution.
d. y = 5(3) + 10 = 15 + 10 = 25, so the ordered pair is (3, 25) which matches the given point and is the solution.
The correct ordered pair is d. (3, 25).