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Find the value of c for which the following pair of linear equations has infinitely many solutions : cx + 3y = c – 3 12x + cy = c
Solve for x and y : 3x + 2y = 65 2x + 3y = 60
A fraction becomes 1/3, when 1 is subtracted from the numerator and it becomes 1/4, when 8 is added to its denominator. Find the fraction.
Find the value of k for which the following pair of linear equations will have infinitely many solutions : kx + 3y – (k – 3) = 0 and 12x + ky – k = 0 Hence, find any two solutions of the given pair of equations.
If a pair of linear equations is consistent, then the lines will:
In the pair of equations 3x + 2y = 5 and 6x + 4y = 10, the lines are:
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