Solve the following system of equations using cross-multiplication mathod:-
1. ax+by-(a-b)=0 ; bx-ay-(a+b)=0
The given equation is
ax + by - (a - b) = 0
bx -ay - (a + b) = 0
Then x/ ( -b) (a + b) - (a) (a - b) = -y/ (-a) (a+ b) + b (a - b) = 1/( -a square - b square)
or x/ -ab -b square - a square + ab = -y/ - a square - ab +ab -b square = 1/ (-a square - b square)
or x/ -a square - b square = - y/ - a square - b square = 1/ -a square - b square
Hence x = 1 and y = -1