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

The correct option is 4. The solution of given system of equation is (3,-1), which lies in 4th quadrant.

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.