`x/2+y/3=1x/3+y/2=1`

Solve the following simultaneous linear equations in two variables by the method of elimination : x/2+y/3=1, x/3+y/2=1

What is equation of straight line pass through the point of intersection of the line x/2+y/3=1 and x/3+y/2=1 , and parallel the 4x+5y-6=0 ?

Find the S.D. between the lines : x/2=y/-3=z/1 and (x-2)/3=(y-1)/-5=(z+2)/2

Find the equation of the line passing through the point (-1,3,-2) and perpendicular to the lines : x/1=y/2=z/3 and (x+2)/-3=(y-1)/2=(z+1)/5 .

Solve the system of equations by cramer's rule: 2x-3y+z=-1 ,3x+y-2z=1 and 4x-y+z=9

Examining consistency and solvability, solve the following equation by matrix method. x+y+z=4 2x-y+3z=1 3x+2y-z=1

The value of |2x_1y_1x_1y_2+x_2y_1x_1y_3+x_3y_1x_1y_2+x_2y_1 2x_2y_2x_2y_3+x_3y_2x_1y_3+x_3y_1x_2y_3+x_3y_2 2x _3y_3| is.