sascsl7973
02.12.2020 •
Mathematics
PLEASE HELP ASAP WILL CHOOSE BRAINLIEST FOR CORRECT ANSWER GIVING 20 PTS
System A-
-x-2y=7
5x-6y=-3
Solution: (-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=32
A. 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.
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 -5. 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 5. The solution to system B will be the same as the solution to system A.
please helpp and take ur time
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Ответ:
A. 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.
System A :
-x - 2y = 7 (1)
5x - 6y = -3 (2)
If we multiply the first equation by 5, then we will get :
5(- x - 2y) = 5(7)
⇒ - 5x - 10y = 35 (3)
Now the Sum of equation (2) and equation (3) is:
⇒ Sum :
Now if we replace the second equation in system A with this , then we will get the system B.
Solution of system B:
First we will take the second equation as there is only one variable 'y'. So, we will solve that equation for 'y'
Now for solving 'x', we will plug y= -2 into the first equation
So, the solution of system B is (-3, -2), that means the solution of both systems are same.
Step-by-step explanation:
Ответ: