A system of equations and its solution are given below.system A-x - 2y=75x - 6y=-3solution (-3,-2)Choose the correct option that explains what steps were followed to obtain the system of equations below.system B-x - 2y= 7-16y=32A. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -5. The solution to system B will not be the same as the solution to system A.B. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -6. The solution to system B will not be the same as the solution to system A.C. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 3. The solution to system B will be the same as the solution to system A.D. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.
Accepted Solution
A:
Answer:Option DStep-by-step explanation:we havesystem A-x-2y=7 ----> first equation A5x-6y=-3 ---> second equation AMultiply the first equation by 5 both sides(5)*(-x-2y)=7*5 ----> -5x-10y=35Adds5x-6y=-3-5x-10y=35------------------6y-10y=-3+35-16y=32thereforeTo get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A