Question

Solve graphically x-2y=0
3x+4y-20=0

Answer 1

Answer:

(4,2)

Step-by-step explanation:

The given equations are

$x-2y=0$

$3x+4y-20=0$

Substitute x=0, in equation (1).

$(0)-2y=0\Rightarrow y=0$

Substitute x=2, in equation (1).

$(2)-2y=0\Rightarrow y=1$

It means line 1 passes through the point (0,0) and (2,1). Plot these two points on a coordinate plane and connect them by a straight line.

Substitute x=0, in equation (2).

$3(0)+4y-20=0\Rightarrow y=5$

Substitute x=4, in equation (2).

$3(4)+4y-20=0\Rightarrow y=2$

It means line 1 passes through the point (0,5) and (4,2). Plot these two points on a coordinate plane and connect them by a straight line.

From the below graph it is clear that the intersection point of both line is (4,2).

Therefore, the solution of the system of equations is (4,2).