What is simultaneous linear equation and it's solution ?

Simultaneously linear equation

Solve the following simultaneous linear equations in two linear variables by the method of cross-multiplication : ax+by=1, bx+ay=(2ab)/(a^(2)+b^(2))

Solve the following simultaneous linear equations in two linear variables by the method of cross-multiplication : x+y=2b, x-y=2a

Solve the following simultaneous linear equations in two linear variables by the method of cross-multiplication : x/a+y/b=2, ax-by=a^(2)-b^(2)

Let there be three simultaneous linear equations in two unknowns. What can be the number of solutions (if they do exist) ?

Solve the following simultaneous linear equations in two variables by the method of subsitution : x+y=a+b ax-by=a^(2)-b^(2)

Solve the following simultaneous linear equations in two variables by the method of comparison : x/a=y/b ax+by=a^(2)+b^(2)

Solve the following simultaneous linear equations in two variables by the method of elimination ax+by=c bx+ay=1+c

Let the system of linear equations A[x y z]=[0 1 0] where A is a matrix of set X If the system of linear equation has infinite solution then number of value of alpha is infinite If the system of linear equation has infinite solution then number of matrices is infinite If the system of linear equation has infinite solution then number of value of alpha is only 4 If the system of linear equation has infinite solution then number of matrices is 4