Question

solve for x and y ax+by=a-b. bx-ay=a+b

Answer 1

Answer:

x = 1 and y = -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