A system of equations and its solution are given below.System Ax = 6y = 53x - 7y = -35Solution: (-7, 2)Choose the correct option that explains what steps were followed to obtain the system of equations below.System B x + 6y = 5-25y = -50A. 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 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 -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 7. The solution to system B will not be the same as the solution to system A.
Question
Answer:
Answer: Option 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.First equation of system A multiplied by -3:
(-3)(x+6y=5)
(-3)(x)+(-3)(6)=(-3)(5)
-3x-18=-15
Sum of the second equation of system A and the first equation multiplied by -3:
(-3x-18)+(3x-7y)=(-15)+(-35)
-3x-18+3x-7y=-15-35
-25y=-50
System B
x+6y=5
-25y=-50
solved
general
11 months ago
8142