Which ordered pair is a solution of the equation?

Question

y-3=5(x-2)

2,3
3,2
both
neither

Answer 1

To determine which ordered pair is a solution of the equation, we substitute the x and y values of each pair into the equation and check if the equation holds true.

For the ordered pair (2,3),
y-3 = 5(x-2)
3 - 3 = 5(2 - 2)
0 = 5(0)
0 = 0

The equation is true for the ordered pair (2,3).

For the ordered pair (3,2),
y-3 = 5(x-2)
2 - 3 = 5(3 - 2)
-1 = 5(1)
-1 = 5

The equation is false for the ordered pair (3,2).

Therefore, the ordered pair (2,3) is a solution of the equation.