Which of the ordered pairs in the form (x, y) is a solution of this equation?
5x-y/3=13
(2,-9) ,(3,-6)
A.
Neither is a solution.
B.
The first is not a solution, but the second is.
C.
The first is a solution, but the second is not.
D.
Both are solutions.
try first
5 (2) - (-9/3)
=10 + 3
=13 sure enough
try second
5(3) - (-6/3)
= 15 + 2
= 17 no way
so c
well, sure looks that way
To determine if an ordered pair is a solution of an equation, we need to substitute the values of x and y into the equation and check if the equation holds true. Let's do that for each ordered pair:
1. Ordered Pair (2, -9)
Substituting the values into the equation, we get:
5(2) - (-9)/3 = 13
10 + 9/3 = 13
10 + 3 = 13
13 = 13
Since both sides of the equation are equal, the ordered pair (2, -9) is a solution.
2. Ordered Pair (3, -6)
Substituting the values into the equation:
5(3) - (-6)/3 = 13
15 + 6/3 = 13
15 + 2 = 13
17 = 13
Since both sides of the equation are not equal, the ordered pair (3, -6) is not a solution.
Therefore, the correct answer is:
C. The first is a solution, but the second is not.