Solve the system by the method of your choice x 2y 9 3x 6

Solve the system by the method of your choice. {x = 2y + 9 -3x + 6y = -27 Select the correct choice below and. if necessary; fill in the answer box to complete your choice. The solution set is {} (Simplify your answer Type an ordered pair.) There are infinitely many solutions The solution set is 0.

Solution

x=2y+9

-3x+6y=-27

put the value of x from eqn 1 we get

-3(2y+9)=2y+9

-6y-27=2y+18

-8y=45

y=-45/8

x=2(-45/8)+9

x=(-45+36)/9

x=-9/9=-1

(-1,-45/9) is the solution set