Answer:
Option b is the correct answer as both the equations are true for given solution.
Step-by-step explanation:
Given equations are:
-0.1x-0.3y=1.2
0.2x-0.5y=2
We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution
For option A:
(0,4)
Putting x=0 and y = 4 in both equations
[tex]-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2[/tex]
This is not the correct answer as both equations are not true with this solution
For Option B:
(0,-4)
Putting x = 0 and y = -4 in both equations
[tex]-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2[/tex]
Both equations are true for (0,-4) hence it is the solution of the system.
For Option C:
(4,0)
[tex]-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2[/tex]
Not true for both equations
Hence,
Option b is the correct answer.
