Question

The solution to the given system of linear equations lies in which quadrant? 1, 2, 3, or 4

Answer 1

Lies on the 4th quadrant

Answer 2

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

$x-3y=6$                  .... (1)

$x+y=2$                   .... (2)

Subtract equation (2) from equation (1).

$x-3y-(x+y)=6-2$

$x-3y-x-y=4$

$-4y=4$

Divide both sides by -4.

$y=-1$

The value of y is -1.

Substitute y=-1 in equation (1).

$x-3(-1)=6$

$x+3=6$

Subtract 3 from both sides.

$x=6-3$

$x=3$

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.