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13. Linear Equations in Two Variables
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Q6 of 56 Page 14

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

Given, x = 2α+1 and y = α-1 is a solution of the equation 2x-3y+5=0


⇒ 2 × (2α + 1) – 3(α – 1) + 5 = 0


⇒ 4α +_2 – 3α + 3 + 5 = 0


⇒ α = -10


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4

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

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

7

If x=1 and y=6 is a solution of the equation 8x-ay+a2=0, find the values of a.

1

Draw the graph of each of the following linear equations in two variables:

(i) x+y=4

(ii) x-y=2

(iii) -x+y=6

(iv) y=2x

(v) 3x+5y=15

(vi) =2

(vii) =y-3

(viii) 2y= -x+1

Questions · 56
13. Linear Equations in Two Variables
1 2 3 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10
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