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Mathematics
8. Linear Equations in Two Variables
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Q35 of 70 Page 269

If the point (3, 4) lies on the graph of the equation 3y = ax + 7, find the value of a.

Given equation: 3y = ax + 7


⇒ ax = 3y – 7



Since, the point (3, 4) lies on the graph of the equation 3y = ax + 7 therefore, it should satisfy the equation 3y = ax + 7


So, x = 3 and y = 4


Putting these values we get,






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33

Show that (3, 1) as well as (2, – 2) are the solutions of the equation 3x – y = 8. Find two more solutions. How many solutions can we find?

34

For the equation 6x – 5y = 8, verify that

(i) (3, 2) is a solution (ii) (2, 3) is not a solution

36

Find two solutions for each of the following:

(i) 3x + 4y = 12 (ii) 3x + 5y = 0


(iii) 4y + 5 = 0

37

Study the graph given below. Choose the equation whose graph is given:

(i) y = x (ii) y = 2x


(iii) y = 2x + 1 (iv) x + y = 0


Questions · 70
8. Linear Equations in Two Variables
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