Choose a system of equations with the same solution as the following system: 6x + 2y = −6 3x − 4y = −18A) 8x + 4y = −4 17x + 2y = −28 B) 12x + 4y = 12 21x + 2y = −36 C) 6x + 8y = −36 15x + 6y = −60D) 6x + y = 15 15x − y = −9

Answer:Option A.Step-by-step explanation:We are given 6x+2y =-6 ......(1) and 3x-4y=-18 .....(2)Solving equations (1) and (2) we get12x+3x =-30, ⇒x= -2 and from equation (1), 2y= -6-6(-2) =6, ⇒ y=3Therefore, the solution for the given set of equations is x= -2 and y=3A) Solving the equations 8x+4y = -4 ....... (3)and 17x+2y =-28, we get  8x -34x = -4 -(-56) =52, ⇒-26x =52, ⇒x=-2 and from equation )(3), we get -16+4y =-4, ⇒ y=3Therefore, the solution x=-2 and y =3 match with the original solution.B)Solving the equations 12x + 4y = 12 ....... (4)and 21x + 2y = −36, we get  12x -42x = 12 -(-72) =84, ⇒-30x =84, ⇒x=-84/30.Therefore, the solution x=-84/30 does not match with the original solution.C) Solving the equations 6x + 8y = −36 ....... (4) and 15x + 6y = −60, we get 18x -60x = -108 -(-240) =132, ⇒-42x =132, ⇒x=-132/42Therefore, the solution x=--3  do not match with the original solution.D) Solving the equations 6x + y = 15 ....... (5) and 15x − y = −9, we get 6x +15x = 6, ⇒21x =6, ⇒x=2/7  Therefore, the solution x=2/7  do not match with the original solution.Therefore, option A) will have the same solution. (Answer)