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Mathematics
13. Linear Equations in Two Variables
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Q4 of 56 Page 14

If x = -1, y = 2 is a solution of the equation 3x+4y=k, find the value of k.

3x + 4y = k


If x = -1, y = 2 is a solution of the equation, then


⇒ 3 × -1 + 4 × 2 = k


⇒ k = 5


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2

Write two solutions of the form x = 0, y = a and x=b, y=0 for each of the following equations:

(i) 5x-2y =10


(ii) -4x+3y =12


(iii) 2x+3y =24

3

Check which of the following are solutions of the equation 2x-y =6 and which are not:

(i) (3,0)


(ii) (0,6)


(iii) (2,-2)


(iv) (,0)


(v) (, -5)

5

Find the value of λ, if x=-λ and y = is a solution of the equation x+4y-7=0.

6

If x = 2α+1 and y = α-1 is a solution of the equation 2x-3y+5=0, find the value of α.

Questions · 56
13. Linear Equations in Two Variables
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