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Linear Equations in Two Variables

Short Answer Type

71. Find three different solutions of the equation: 4x + 3y = 12, from its graph.

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72. Draw the graph of x + y = 3 and 2x + 2y = 8 on the same axes. What does the graph of these lines represent?

795 Views

73.

Draw graph of the following linear equations on the same axes

(i) x + y = 3
(ii) 3x – 2y = 4
Also shade the region formed by their graphs and y-axis.

308 Views

Long Answer Type

74. If x is the number of hours a labourer is on work and y his wages in rupees then y = 4x + 3. Draw the work wages graph of this equation. From the graph, find the wages of a labourer who puts in 4 hours of work.

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Short Answer Type

75. Draw the graph of the linear equation $straight y equals 2 over 3 straight x space plus 1 third$ Check from the graph that (7, 5) is a solution of the linear equation.

The given linear equation

rightwards double arrow space space space space space space straight y space equals space 2 over 3 straight x plus 1 third space space space space space space space space space space space space space space space.... left parenthesis 1 right parenthesis

Table of solutions

x	1	4
y	1	3

We plot the points (1,1) and (4, 3) on a graph paper and join the same by a ruler to get the line which is the graph of the equation $straight y equals 2 over 3 straight x plus 1 third.$
The given linear equation
Table of solutions

x

1

4

y

1

3

From graph, we see that the point (7, 5) lies on the graph, so it is a solution of the linear equation.

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76. Draw the graph of linear equation 2x + y = 8on Cartesian plane. Write the coordinates of the points where this line intersects x-axis and y-axis.

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77. Rohit is driving his car at a uniform speed of 80 km per hour. Draw time-distance graph taking time along x-axis and distance along y-axis.

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78. A part of family budget on milk is constant and is fixed at र 500, while the other is variable and it depends on the need for milk at the rate oft 20 per litre. If extra milk taken is x litre and total expenditure on milk is रy, then write a linear equation for this problem. Draw its graph.

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79. Draw the graph of linear equation 4x + 3y = 36. From the graph, find the value of y when x = 3 and value of x when y = 6.

231 Views

80. Draw the graph of the equations x = 3 and 4x = 3y in the same graph. Find the area of the triangle formed by these two lines and the x-axis.

438 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

Long Answer Type

Short Answer Type

75. Draw the graph of the linear equation Check from the graph that (7, 5) is a solution of the linear equation.

75. Draw the graph of the linear equation $straight y equals 2 over 3 straight x space plus 1 third$ Check from the graph that (7, 5) is a solution of the linear equation.