Multiply the first equation by b⇒ bx + by = ab + b2 …[1]⇒ ax — by = a2 — b2 …[2]Now, eq[2] + eq[1]x(a + b) = a2 + ab⇒ x(a + b) = a(a + b)⇒ x = aby x + y = a + b and x = ax + y = a + b (x = a)⇒ y = b

Q. 1 C

Solve the followi

Class 10th Gujarat Board Mathematics 3. Pair of Linear Equations in Two Variables

Answer :

Multiply the first equation by b

⇒ bx + by = ab + b² …[1]

⇒ ax — by = a² — b² …[2]

Now, eq[2] + eq[1]

x(a + b) = a² + ab

⇒ x(a + b) = a(a + b)

⇒ x = a

by x + y = a + b and x = a

x + y = a + b (x = a)

⇒ y = b

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