Linear Equations in Two Variables (10)

Graphical Method of Solution, Algebraic Methods of Solving - Substitution Method, Elimination Method.

Find the values of a and b for which the system of linear equations

Find the values of a and b for which the system of linear equations 3x + 4y = 12, (a + b)x + 2(a - b)y = 24 has infinite number of solutions.

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A lending library has a fixed charge for first three days

A lending library has a fixed charge for first three days and an additional charge for each day thereafter. Rittik paid ₹27 for a book kept for 7

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If the pair of linear equations x − y = 1, x + ky = 5 has a unique solution x = 2, y = 1, then the value of k is

If the pair of linear equations x - y = 1, x + ky = 5 has a unique solution x = 2, y = 1, then the value of k is

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The pair of linear equations x + 2y + 5 = 0 and −3x − 6y + 1 = 0 has

The pair of linear equations x + 2y + 5 = 0 and -3x - 6y + 1 = 0 has

  1. a unique
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In Fig. 1, ABCD is a rectangle. Find the values of x and y

In Fig. 1, ABCD is a rectangle. Find the values of x and y.

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Sumit is 3 times as old as his son

Sumit is 3 times as old as his son. Five years later, he shall be two and a half times as old as his son. How old is Sumit at present ? 

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The larger of two supplementary angles exceeds the smaller by 18°

The larger of two supplementary angles exceeds the smaller by 18°. Find the angles.

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Find the value(s) of k so that the pair of equations x + 2y = 5 and 3x + ky + 15 = 0

Find the value(s) of k so that the pair of equations x + 2y = 5 and 3x + ky + 15 = 0 has a unique solution.

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