Question

solve ax+by=a-b bx-ay=a+b by cross multiplication

Answer 1

Step-by-step explanation:

Given equations are,

ax + by = a - b ---------(1)

bx - ay = a + b ---------(2),

b × Equation (1) - a × Equation (2),

b^2y + a^2 y = -b^2-a^2

(b^2+a^2)y = -(b^2+a^2)

\implies y = -\frac{b^2+a^2}{b^2+a^2}=-1

Now, from equation (1),

ax - b = a - b

⇒ ax = a ⇒ x = 1

Hence, the solution of the given system of equations is x = 1 and y = -1