Four words have been given, out of which three are alike

For given pair of equations, how many solutions are possible?

3x + 4y = 15 and 6x + 8y = 10

For given pair of equations, how many solutions are possible?

4x + 6y = 16 and 8x + 12y = 32

The ratio of roots of the equation mx² + nx + n = 0 is α/ β = a/b, then find the value of `sqrt(a/b)+sqrt(b/a)+sqrt(n/m)`

Find the area between the lines 18x +12y = 108, 9x  + 6y  = 27, x - axis and y -axis. 

If in two linear equations ax + by = c and dx + ey = f and a/d = b/e = c/f  then, which of the following is true about the two equations?

For which value of m, there is no solution to the equation -

a – b = 5

ma – 4b = 1

The lines x + y = 9 and x - y = 3 intersect at point P. Find the coordinates of P.

Solve: (x/3) + (x/5) = 16

Find the value of 'a' and 'b' which satisfy the following equations:

9a + 7b = 30

4a - 5b = 62

If (5√P - 7√Q) = 5, [1.5P = 4Q-(R/3)+9] and (√P/√Q) = 1.6, then find out the value of ‘R’.