Questions on focus on linear equations of the type ax + by + c=0

Questions Types on Linear Equations

What is the type of solution for pair of linear equation ax + by = c, my = n.

If the system of linear equation x + 4ay + ax = 0 , x + 3b + bz = 0 x + 2cy + cz = 0 have a non-trivial solution, then a, b, c are in

Solve the following linear equations: ax + by = c bx + ay = 1+c

Obtain the condition for the following system of linear equations to have a unique solution: ax+by=c,quad lx+my=n

Roots of the quadratic eauation of the type (ax + b) (cx + d) = 0 are given by the linear equations ax + b = 0 and cx + d = 0. Find roots of 16x^(2) - 9 = 0 .

Express the linear equation sqrt(2x) -4=5y in the form of ax+by +c=0 and thus indicate the values of a,b and c

If the system of linear equations ax +by+ cz =0 cx + cy + bz =0 bx + cy +az =0 where a,b,c, in R are non-zero and distinct, has a non-zero solution, then: