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 5. The solution to system B will 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 -6. The solution to system B will not 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 3. The solution to system B will be the same as the solution to system A.
Accepted Solution
A:
Answer:BStep-by-step explanation:The second equation in system B is only in terms of y, so we need to use elimination to eliminate the x term from the second equation in system A.To do that, we need to multiply the first equation by 5.5 (-x − 2y = 7)-5x − 10y = 35Add to the second equation. Notice the x terms cancel out.(-5x − 10y) + (5x − 6y) = 35 + (-3)-16y = 32Combining this new equation with the first equation from system A will get us system B.-x − 2y = 7-16y = 32