Answer:
Option b: (-3,1) is the correct answer.
Step-by-step explanation:
Given that:
y=x+4 Eqn 1
-9y = 27+12x Eqn 2
Using substitution method, putting value of y from Eqn 1 in Eqn 2
-9(x+4)=27+12x
-9x-36=27+12x
Subtracting 12 from both sides
-9x-12x-36=27+12x-12x
-21x-36=27
Adding on both sides
-21x-36+36=27+36
-21x=63
Dividing both sides by -21
[tex]\frac{-21x}{21}=\frac{63}{-21}\\x=-3[/tex]
Putting x=-3 in Eqn 1
y = -3+4
y = 1
The solution set is (-3,1)
Hence,
Option b: (-3,1) is the correct answer.
