Represent the following pair of equations graphically and write the coordinates of points where the line intersects $y$ -axis
$x + 3 y = 6$
$2 x - 3 y = 12$

Open in App

Solution

$x + 3 y = 6$
$2 x - 3 y = 12$
plotting graph $:$
$x + 3 y = 6$

$x$

$0$

$6$

$3$

$y$

$2$

$0$

$- 1$

plotting graph $:$
$2 x - 3 y = 12$

$x$

$0$

$6$

$9$

$y$

$- 4$

$0$

$2$

$y$ axis coordinates are (0,2) and (0,-4).

Suggest Corrections

Similar questions

Q. Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet the axis of x in each system.

(i) 2x + y = 6
x − 2y = −2

(ii) 2x − y = 2
4x − y = 8

(iii) x + 2y = 5
2x − 3y = −4

(iv) 2x + 3y = 8
x − 2y = −3

Q. Express y in terms of x in the equation 2x − 3y = 12. Find the points where the line represented by the equations 2x − 3y = 12 cuts the x-axis and y-axis.

Q. Solve the following pair of linear equations graphically.

x + 3 y = 6; 2 x - 3 y = 12

. Also find the area of the triangle formed by the lines representing the given equations with

y -

axis.

Solve each of the following given systems of equations graphically and find the vertices and area of the triangle formed by these lines and the y-axis:
$2 x - 3 y = 12, x + 3 y = 6.$

Q. Find the coordinates of the point at which the line represented by the equation 2x+3y = 8 intersects the x-axis.

Join BYJU'S Learning Program

Represent the following pair of equations graphically and write the coordinates of points where the line intersects y-axisx+3y=62x−3y=12

x+3y=62x−3y=12plotting graph: x+3y=6 x 0 6 3 y 2 0 −1 plotting graph: 2x−3y=12 x 0 6 9 y −4 0 2 y axis coordinates are (0,2) and (0,-4).

Represent the following pair of equations graphically and write the coordinates of points where the line intersects $y$ -axis
$x + 3 y = 6$
$2 x - 3 y = 12$

$x + 3 y = 6$
$2 x - 3 y = 12$
plotting graph $:$
$x + 3 y = 6$

$x$

$0$

$6$

$3$

$y$

$2$

$0$

$- 1$

plotting graph $:$
$2 x - 3 y = 12$

$x$

$0$

$6$

$9$

$y$

$- 4$

$0$

$2$

$y$ axis coordinates are (0,2) and (0,-4).