Solve the following system of equations graphically : x - 2y - 4 = 0, 2x + y - 3 = 0.

Given, ⇒ x - 2y - 4 = 0 ⇒ 2y = x - 4 ⇒ y = .........(1) When x = -2, y = = -3, x = 0, y = , x = 2, y = = -1. Table of values of equation (1) : x | -2 | 0 | 2 ---- | ---- | ---- | ---- y | -3 | -2 | -1 Steps of construction : 1. Plot the points (-2, -3), (0, -2) and (2, -1) on graph. 2. Join the points. Given, ⇒ 2x + y - 3 = 0 ⇒ y = 3 - 2x .........(2) When x = 0, y = 3 - 2(0) = 3 - 0 = 3, x = 1, y = 3 - 2(1) = 3 - 2 = 1, x = 2, y = 3 - 2(2) = 3 - 4 = -1. Table of values of equation (2) : x | 0 | 1 | 2 ---- | ---- | ---- | ---- y | 3 | 1 | -1 Steps of construction : 1. Plot the points (0, 3), (1, 1) and (2, -1) on graph. 2. Join the points. From graph, The lines intersect each other at P(2, -1). Hence, x = 2, y = -1.

Draw the graph of the equation 3x - 4y = 12. From the graph, find :
(i) the value of y when x = -4
(ii) the value of x when y = 3.

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Solve graphically, the simultaneous equations : 2x - 3y = 7; x + 6y = 11.

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Using a scale of 1 cm to 1 unit for both the axes, draw the graphs of the following equations: 6y = 5x + 10, y = 5x - 15. From the graph, find
(i) the coordinates of the point where the two lines intersect.
(ii) the area of the triangle between the lines and the x-axis.

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Find, graphically, the coordinates of the vertices of the triangle formed by the lines:
8y - 3x + 7 = 0, 2x - y + 4 = 0 and 5x + 4y = 29.

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Mathematics

Solve the following system of equations graphically :
x - 2y - 4 = 0, 2x + y - 3 = 0.

Coordinate Geometry

Related Questions

Draw the graph of the equation 3x - 4y = 12. From the graph, find :
(i) the value of y when x = -4
(ii) the value of x when y = 3.

Solve graphically, the simultaneous equations : 2x - 3y = 7; x + 6y = 11.

Using a scale of 1 cm to 1 unit for both the axes, draw the graphs of the following equations: 6y = 5x + 10, y = 5x - 15. From the graph, find
(i) the coordinates of the point where the two lines intersect.
(ii) the area of the triangle between the lines and the x-axis.

Find, graphically, the coordinates of the vertices of the triangle formed by the lines:
8y - 3x + 7 = 0, 2x - y + 4 = 0 and 5x + 4y = 29.

Mathematics

Solve the following system of equations graphically :x - 2y - 4 = 0, 2x + y - 3 = 0.

Coordinate Geometry

Related Questions

Draw the graph of the equation 3x - 4y = 12. From the graph, find :(i) the value of y when x = -4(ii) the value of x when y = 3.

Solve graphically, the simultaneous equations : 2x - 3y = 7; x + 6y = 11.

Using a scale of 1 cm to 1 unit for both the axes, draw the graphs of the following equations: 6y = 5x + 10, y = 5x - 15. From the graph, find(i) the coordinates of the point where the two lines intersect.(ii) the area of the triangle between the lines and the x-axis.

Find, graphically, the coordinates of the vertices of the triangle formed by the lines:8y - 3x + 7 = 0, 2x - y + 4 = 0 and 5x + 4y = 29.

Solve the following system of equations graphically :
x - 2y - 4 = 0, 2x + y - 3 = 0.

Draw the graph of the equation 3x - 4y = 12. From the graph, find :
(i) the value of y when x = -4
(ii) the value of x when y = 3.

Using a scale of 1 cm to 1 unit for both the axes, draw the graphs of the following equations: 6y = 5x + 10, y = 5x - 15. From the graph, find
(i) the coordinates of the point where the two lines intersect.
(ii) the area of the triangle between the lines and the x-axis.

Find, graphically, the coordinates of the vertices of the triangle formed by the lines:
8y - 3x + 7 = 0, 2x - y + 4 = 0 and 5x + 4y = 29.