Answer: The correct option is (D) (1, -2).
Step-by-step explanation: We are given to find the solution to the following system of equations graphed in the picture :
[tex]y=-4x+2~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x-3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Comparing equations (i) and (ii), we get
[tex]-4x+2=x-3\\\\\Rightarrow 4x+x=2+3\\\\\Rightarrow 5x=5\\\\\Rightarrow x=\dfrac{5}{5}\\\\\Rightarrow x=1.[/tex]
Substituting the value of x in equation (ii), we get
[tex]y=x-3=1-3=-2.[/tex]
Thus, the required solution of the given system is (x, y) = (1, -2).
Option (D) is CORRECT.
