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3. Pair of Linear Equations in Two Variables
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Q1 of 29 Page 3

If x = 3m +1 and y = 4 is a solution of the equation x – y = 6, then find the value of m.

Consider x – y = 6,


3m + 1 – 4 = 6


3m – 3 = 6


3m = 9


m = 3


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2

find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide:

5x – 4y + 8 = 0


7x + 6y – 9 = 0

3

For what value of p, system of equations 2x + py = 8 and x + y = 6 have no solution.

4

If the lines 3x + 2 ky = 2 and 2x + 5y + 1 = 0 are parallel, then find value of k.

5

Find the value of k for which pair of linear equations 3x + 2y = –5 and x – ky = 2 has a unique solution.

Questions · 29
3. Pair of Linear Equations in Two Variables
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