" Solve for "x" and "y:mx-ny=m^(2)+n^(2);x-y=2n

Solve the following simultaneous equations for x and y : m(x+y)+n(x-y)-(m^(2)+mn+n^(2))=0, n(x+y)+m(x-y)-(m^(2)-mn+n^(2))=0

solve the following pair using cross multiplication method mx+ny=m^(2)+n^(2) and x+y=2m

Solve the following system of equations by method of cross-multiplication: mx-ny=m^(2)+n^(2),quad x+y=2m

3mx^(2)-8n^(2)y+(-4mx^(2))-n^(2)y=

If x cos A + y sin A = m and x sin A - y cos A = n, then prove that : x^(2) + y^(2) = m^(2) + n^(2)

Solve 2x+3y=11" and "2x-4y=-24 and hence find the value of 'm' for which y=mx+3 .

Prove : int sin mx sin n x dx[ m^(2) != n^(2)] , = 1/2 [ (sin(m-n)x)/(m-n) - (sin (m+n)x)/(m+n) ] + c

Find the values of m and n, if (x-m) and (x-n) are the factors of the expression x^(2)+mx-n

The coordinates of the point which divides the line segment joining the points (x_(1);y_(1)) and (x_(2);y_(2)) internally in the ratio m:n are given by (x=(mx_(2)+nx_(1))/(m+n);y=(my_(2)+ny_(1))/(m+n))