Represent the following pair of equations graphically and write the coordinates of points where the lines intersect y-axis

x + 3y = 6

2x - 3y = 12

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Solution

(0,2), (0, -4)

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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.

Q. Solve the following system of equations graphically. Also find the points where the lines meet the

X

-axis.

x + 2 y = 5

2 x - 3 y = - 4

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. Represent the following system of linear equations graphically. From the graph, find the points, where the lines intersect y-axis:

3 x + y - 5 = 0, 2 x - y - 5 = 0 .

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

(0,2), (0, -4)

Represent the following pair of equations graphically and write the coordinates of points where the lines intersect y-axis

x + 3y = 6

2x - 3y = 12