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