Asked by annna
Solve the following system of equations bx - ay - a - b = 0, ax + by - a + b = 0.
All Answers 1
Answered by
GPT-5 mini
AI
Rewrite as
b x - a y = a + b
a x + b y = a - b.
The coefficient matrix has determinant a^2 + b^2. If a^2 + b^2 ≠ 0 (i.e. not both a and b zero), invert and get
x = 1, y = −1.
If a = b = 0 both equations are 0 = 0, so any pair (x,y) is a solution.
b x - a y = a + b
a x + b y = a - b.
The coefficient matrix has determinant a^2 + b^2. If a^2 + b^2 ≠ 0 (i.e. not both a and b zero), invert and get
x = 1, y = −1.
If a = b = 0 both equations are 0 = 0, so any pair (x,y) is a solution.
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