Answer:
The correct answer option is (21, 2).
Step-by-step explanation:
We are given the following two equations and we are to find the solution to this system of equations:
[tex]y=-\frac{1}{3} x+9[/tex] --- (1)
[tex]y=\frac{2}{3} x-12[/tex] --- (2)
Since the left hand side of the both the equation is equal so we can equate the right hand sides of these equations equal to each other.
[tex]-\frac{1}{3} x+9 = \frac{2}{3} x-12[/tex]
[tex]\frac{2}{3} x+\frac{1}{3} x = 9+12[/tex]
x = 21
Substituting this value of x in (2) to find y:
[tex]y=\frac{2}{3} (21) - 12[/tex]
y = 2
