(ii) ax + by = cbx + ay=1+c

1.	(ii) ax + by = cbx + ay=1+c
Answer» ax + by = c.............. (1)bx + ay = 1 + c........ (2) Multiply eq(1) by b and eq(2) by a abx + b^2y = bc................(3)abx + a^2y = a(1 + c)....... (4) Subtract eq(3) from eq(4)(a^2 - b^2)y = a(1 + c) - bc y = (a + ac - bc)/a^2 - b^2 Multiply eq(1) by b and eq(2) by a a^2x + aby = ac.......... (5)b^2x + aby= bc+b.......(6) Subtract eq(6) from eq(5)(a^2- b^2)x = (ac-bc -b) x = (ac-bc -b)/(a^2- b^2) ∴ the values of x and y arex = (ac-bc -b)/(a^2- b^2)y = (a + ac - bc )/( a^2 - b^2) . Elimination method se please

Answer»

ax + by = c.............. (1)bx + ay = 1 + c........ (2)

Multiply eq(1) by b and eq(2) by a

abx + b^2y = bc................(3)abx + a^2y = a(1 + c)....... (4)

Subtract eq(3) from eq(4)(a^2 - b^2)y = a(1 + c) - bc

y = (a + ac - bc)/a^2 - b^2

Multiply eq(1) by b and eq(2) by a

a^2x + aby = ac.......... (5)b^2x + aby= bc+b.......(6)

Subtract eq(6) from eq(5)(a^2- b^2)x = (ac-bc -b)

x = (ac-bc -b)/(a^2- b^2)

∴ the values of x and y arex = (ac-bc -b)/(a^2- b^2)y = (a + ac - bc )/( a^2 - b^2) .

Elimination method se please

Discussion