Answer:
B) -2x+2y=-2
Step-by-step explanation:
we have
[tex]x+y=11[/tex] ----> equation A
[tex]2x-3y=-3[/tex] ----> equation B
Solve the system by graphing
Remember that the solution of the system of equations is the intersection point both graphs
using a graphing tool
The solution is the point (6,5)
see the attached figure
Remember that
If a equation is added to the system so that the solution does not change, then the solution of the system must be a solution of the equation added
Verify each case
The solution of the system is (6,5)
substitute the value of x and the value of y in each equation
case A) x-y=2
6-5=2
1=2 ----> is not true
therefore
This equation can't be added to the system
case B) -2x+2y=-2
-2(6)+2(5)=-2
-12+10=-2
-2=-2 ----> is true
therefore
This equation can be added to the system
case C) 3x+y=20
3(6)+5=20
18+5=20
23=20 ----> is not true
therefore
This equation can't be added to the system
case D) x+2y=18
5+2(6)=18
5+12=18
17=18 ----> is not true
therefore
This equation can't be added to the system
