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Find the value of k for which the system of equations \( x + y – 4 = 0 \ and \ 2x + ky – 3 = 0 \) has no solutions
Write the value of k for which the system of equations \( 2x – y = 5 \ and \ 6x + ky = 15 \) has infinitely many solutions
Write the value of k for which the system of equations \( x + ky = 0 \ and \ 2x – y = 0 \) has unique solution
Write the set of values of a and b for which the following system of equations has infinitely many solutions \( 2x + 3y = 7, 20x + (a + b)y = 28\)
Solve the following pair of linear equations \( 7x + 3y = 27, 2x + 5y = 16 \)
Write the nature of the graph of the equations 6x – 2y + 9 = 0 and 3x – y + 12 = 0
If lines x + 2y + 7 = 0 and 2x + ky + 18 = 0 intersect at a point, then find the value of k
If 47x + 31y = 18 and 31x + 47y = 60, then find the value of x + y
For the pair of linear equation 2x + 3y – 5 = 0, kx – 6y – 8 = 0, determine the value of k for which the given system of equation has unique solution
Find out whether the pair of linear equation 2x + 3y = 5, 2x – 3y = 7 are consistent or inconsistent.
The sum of numerator and denominator of a fraction is 8. If 3 is added to both, the fraction becomes \(\frac{3}{4}\). Find the fraction.
X takes 3 hours more than Y to walk 30Km. But if X doubles his pace he is ahead of Y by \(1\frac{1}{2}\) hrs. Find speed of X
Find the values of p and q for which the following system has infinitely many solutions. 2x + 3y = 7, (p + q)x + (2p – q)y = 21