What is the solution to the system of equations below? y=-1/3x+9 and y=2/3x-12(21,2)(21,-10)(-21,16)(-21,-26)

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 = 21Substituting this value of x in (2) to find y:[tex]y=\frac{2}{3} (21) - 12[/tex] y = 2