Q:

Use the substitution method to solve the system of equations. Choose thecorrect ordered pair.x + 2y = 12- x= -y-6O A. (6.0)O B. (8,2)C. (9,3)(7.1)

Accepted Solution

A:
Answer:The correct option is B....Step-by-step explanation:The  given equation is:x + 2y = 12  -----equation 1- x= -y-6. -------equation 2lets take equation 2:-x=-y-6Take minus as common on R.H.S-x= -(y+6)x=y+6  (Lets call it equation 3)Substitute the value of x in the first equation:x+2y=12y+6+2y=12Combine the like terms:y+2y = 12-63y=6Divide both the sides by 33y/3=6/3y=2Now substitute the value of y in equation 3:x=y+6x=2+6x=8Thus the solution set is (x,y){(8,2)}.The correct option is B....