Answer :
Answer:
(- 3, 2 )
Step-by-step explanation:
To determine which ordered pair is a solution, substitute the x and y- coordinates of the given points into the left side of the equation.
If the result is equal to the right side then the pair is a solution.
(2, - 2)
- 6(2) - 7(- 2) = - 12 + 14 = 2 ≠ 4 ← not a solution
(- 2, 2 )
- 6(- 2) - 7(2) = 12 - 14 = - 2 ≠ 4 ← not a solution
(- 3, 2 )
- 6(- 3) - 7(2) = 18 - 14 = 4 = right side ← a solution
(2, - 3 )
- 6(2) - 7(- 3) = - 12 + 21 = 9 ≠ 4 ← not a solution
(- 3,2 ) is a solution of the equation
Answer:
(-3, 2)
Step-by-step explanation:
Substitute each ordered pair into the equation.
(2, - 2)
[tex] - 6(2) - 7( -2) = 4[/tex]
[tex] - 12 + 14 = 4[/tex]
This ordered pair is not a solution because - 12 + 14 = 2
(-2, 2)
[tex] - 6( - 2) - 7(2) = 4[/tex]
[tex]12 - 14 = 4[/tex]
This ordered pair is not a solution because 12 - 14 = - 2. Also, because this ordered pair is just the inverse of the previous one you have calculated, you can tell it will not give a result of 4.
(-3, 2)
[tex] - 6( - 3) - 7(2) = 4[/tex]
[tex]18 - 14 = 4[/tex]
This ordered pair is a solution because 18 - 14 = 4.
(2, - 3)
[tex] - 6(2) - 7( - 3 ) = 4[/tex]
[tex] - 12 + 21 = 4[/tex]
This ordered pair is not a solution because - 12 + 21 = 9.