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4. Linear Equations in Two Variables
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Q18 of 50 Page 4

Represent the equation 2y + 1 = y – x graphically.

Given Equation: 2y + 1 = y – x


y + 1 = - x


y = -x – 1


Now, taking different values of x,


At x = 1,


y = -1 – 1 = -2


At x = 2,


y = -2 – 1 = -3


At x = 0,


y = 0 – 1 = -1


Thus, the points to be plotted are:




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16

Plot the points (3, 5) and (-1, 3) on a graph paper and verify that the straight line passing through these points also passes through the point (1,4).

17

Draw the graph of y = |x|.

19

Give the geometrical representation of the equation 2x – 6 = 0 as an equation in

(i) One variable


(ii) Two-variable

20

Check which of the following are linear equations in two variables:

(i) x2 – y = 2


(ii) x + y = 3


(iii) xy = 9

Questions · 50
4. Linear Equations in Two Variables
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