Option B
The ordered pair (3, -2) is not a solution to 5q = −3p − 1 and p = 2 + 3q
Solution:
Given ordered pair is (3, -2)
p = 3 and q = -2
We have to find the system of equations that is not satisfied by the given ordered pair
Option A
23p = 7 − 31q
31p + 23q = 47
Substitute p = 3 and q = -2 in both equations
23(3) = 7 - 31(-2)
69 = 7 + 62
69 = 69
Thus satisfied
Check the next equation
31p + 23q = 47
31(3) + 23(-2) = 47
93 - 46 = 47
47 = 47
Thus this equation is also satisfied
The given ordered pair is a solution to system of equations
Option B
5q = −3p − 1
Substitute p = 3 and q = -2
5(-2) = -3(3) - 1
-10 = -10
Thus satisfied
Check the next equation
p = 2 + 3q
3 = 2 + 2(-2)
3 = 2 - 4
[tex]3 \neq -2[/tex]
Thus ordered pair is not satisfied
The given ordered pair is not a solution to system of equations
Option C
5q = −3p − 1
Substitute p = 3 and q = -2
5(-2) = -3(3) - 1
-10 = -9 - 1
-10 = -10
Thus satisfied
Check the next equation
−2p + 3q = −12
-2(3) + 3(-2) = -12
-6 - 6 = -12
-12 = -12
Thus satisfied. The given ordered pair is a solution to system of equations
Option D
p + 3q = −3
Substitute p = 3 and q = -2
3 + 3(-2) = -3
3 - 6 = -3
-3 = -3
Thus satisfied
Check next equation
2q = 5 - 3p
2(-2) = 5 - 3(3)
-4 = 5 - 9
-4 = -4
Thus satisfied. The given ordered pair is a solution to system of equations
