Question

Which ordered pair is a solution of the equation?

y + 1 = 3(x - 4)
A. Only (4, - 1)
B. Only (5, 2)
C. Both (4, - 1) ) and (5, 2)
D. Neither

Answer 1

To find the solutions of the equation, substitute the values of x and y from the ordered pairs into the equation and check if it holds true.C. Both (4, -1) and (5, 2) are solutions of the equation.

Step-by-step explanation:

To find the solution of the equation, we substitute the values of x and y from the given ordered pairs into the equation and check if the equation holds true.

For the ordered pair (4, -1):

y + 1 = 3(x - 4)

-1 + 1 = 3(4 - 4)

0 = 3(0)

0 = 0

The equation is true for the ordered pair (4, -1).

For the ordered pair (5, 2):

y + 1 = 3(x - 4)

2 + 1 = 3(5 - 4)

3 = 3(1)

3 = 3

The equation is true for the ordered pair (5, 2).

Therefore, both (4, -1) and (5, 2) are solutions of the equation.

So the correct answer is option C. Both (4, -1) and (5, 2).