Question

ax+by=a-b and bx-ay=a+b in cross multiplication method​

Answer 1

Answer: X=1,Y= -1

Step-by-step explanation:

the gven system of equations may be written as

ax + by -(a-b)=0

bx-ay-(a+b)=0

by cross multiplication, we get

x/bx-(a+b) - (-a) x -(a-b) = -y/ax -(a+b)-bx -(a-B) = 1/a2-b2

x/-b(a+b) - a(a-b)= -y/-a(a+b) + b(a-b)=1/-(a2+b2)

x/b2-a2=-y/-a2-b2= 1/-(a2+b2)

x=-(a2 + b2)/-(a2 + b2) = 1 and

y=(a2 + b2)/-(a2 + b2) = -1

x=1,y=-1