Find the HCF of two numbers if LCM and product of those

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?

If x - √3 y = 8 Find the slope in angle?

If 2x + 3y = 27 and 3x - y = 13, find (x + y).

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

I. p² - 365 = 364

II. q - √ 529 = √ 169

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

a – b = 5

ma – 4b = 1

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

9a + 7b = 30

4a - 5b = 62

If, x - y radic; 3 = 23 and radic; 3x + y = 35

Find the angle between both the lines when they intersect each other.

The ratio of roots of an equation

ax²+bx+b = 0 is p : q

Then find, √p/√q + √q/√p + √p/√q ?