Question

how to solve this by method not by guess ​

Answer 1

Question :-

Solve -

a + b = 1

b - a = 1

Answer :-

Here, we are given two equations :-

→ a + b = 1ㅤㅤㅤㅤ-i

→ b - a = 1ㅤㅤㅤㅤ -ii

Adding both the equations :-

→ (a + b) + (b - a) = 1 + 1

→ a - a + b + b = 2

→ 2b = 2

→ b = 2 / 2

→ b = 1

Substituting the value of b in equation i :-

→ a + b = 1

→ a + 1 = 1

→ a = 1 - 1

→ a = 0

Hence,

• a = 0
• b = 1

Verification :-

Substituting the value of a and b in equation i :-

→ LHS = a + b = 1 + 0 = 1

→ RHS = 1

LHS = RHS

Substituting the value of a and b in equation ii :-

→ LHS = b - a = 1 - 0 = 1

→ RHS = 1

LHS = RHS

Hence verified.