41.If the point (2, –4) lies on the graph of the equation 2y = ax – 10, then find the value of a. Now express this as a linear equation in two variables.
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42.Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k. Express y in terms of x and find the value of y when x = –1.
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43.Write six solutions for the equation 2x + y = 7.
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44.Express y in terms of x, it being given that 3x + y – 9 = 0. Check whether the points (3, 0) and (2, 2) lie on the equation.
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45.If x = 2 and y = – 1 is a solution of the equation ax – y = 5, find the value of a, also two more solutions of the equation.
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46.(2, –3) is a solution of the equation 2(x + 1) – 7(y – 2) = k, find the value of k. Find two more solutions also.
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47.Write the following equation in the form ax + by + c = 0 and find values of a, b and c : 4 = 3x – 5y. Check whether (1, –1) and (3, 1) are solutions of this equation or not.
48.If the point (–2,4) lies on the graph of the equation (a – 1) y + 3x = 6, find four other solutions of this equation.
Solution not provided.
Ans. a = 4; (0, 2), (1, 1), (2, 0), (3, -1)
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49.There are few families residing in a locality. For a festival some families donated र 100 each and the other families donated र 50 each. The total money collected was र 44,450. Express this in the form of an equation in two variables. Using this equation, find the number of families who donated र 100 each if the number of families donating र 50 is 111.
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50.Check whether (3, 1), (1, 3) and (0, 8) are the solutions of the equation 3x – y = 8.
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