Question

2) Solve by cramers rule.
a x + b y = a - b &
b x +a y = a + b​

Answer 1

Answer:

∆ = a2 -b2

∆a= a-b)a-(a+b)b

∆b= (a+b)a-(a-b)b

a=a/a-b -b/a-b

b= a/a-b-b/a+b

Answer 2

Step-by-step explanation:

ax+by=a−b __ (1)

bx−ay=a+b __(2)

Multiply equation (1) with a and equation (2) with b,

a^2x+aby=a^2−ab __(3)

b^2x−aby=ab+b^2 __ (4)

Adding (3) and (4), we get,

(a^2+b^2)x=a^2+b^2

⇒x=1

Now, from (1),

ax+by=a−b

a+by=a−b

by=−b

y=−1

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