Answer:
The correct option is 4. The solution of given system of equation is (3,-1), which lies in 4th quadrant.
Step-by-step explanation:
The given equations are
[tex]x-3y=6[/tex] .... (1)
[tex]x+y=2[/tex] .... (2)
Subtract equation (2) from equation (1).
[tex]x-3y-(x+y)=6-2[/tex]
[tex]x-3y-x-y=4[/tex]
[tex]-4y=4[/tex]
Divide both sides by -4.
[tex]y=-1[/tex]
The value of y is -1.
Substitute y=-1 in equation (1).
[tex]x-3(-1)=6[/tex]
[tex]x+3=6[/tex]
Subtract 3 from both sides.
[tex]x=6-3[/tex]
[tex]x=3[/tex]
The solution of given system of equation is (3,-1).
Since the x coordinate is positive and y coordinate is negative, therefore the solution of given system of equation lies in 4th quadrant.
