Question

ax + by = c
cx + dy = e.
solve this equation

Answer 1

ax + by = c ---------(1)
cx + dy = e ---------(2)

from equation (1)
ax = c - by
x = ( c - by)/a put this in equation (2)

c( c - by)/a + dy = e

c² - bcy + day = ae

y( ad - bc) = ( ae - c²)

y = ( ae - c²)/( ad - bc)

put this in x = ( c - by)/ a

x = { c - ( ae - c²)/( ad - bc)}/a