Answer: B. (2,4)
Step-by-step explanation:
From the given graph it can be seen that the two lines are intersecting at (2,4), therefore the solution to the system of equations graphed must be (2,4).
Or we can check by elimination method.
The given system :
[tex]y = x + 2.......................(1)\\\\y = 3x-2..........................(2)[/tex]
Subtracting (1) from (2), we get
[tex]0=2x-4\\\\\Rightarrow\ 2x=4\\\\\Rightarrow\ x=2[/tex]
Now substitute the value of x in (1), we get
[tex]y=2+2=4[/tex]
Hence, the solution of the given system is (2,4)
