Question

Solve my elimination
Ax+by-a+b=0
Bx-ay-4a-b=0

Answer 1

Hey Mate ,

Here is the answer ,
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ax + by = a-b              ----------------------(i)
bx + ay = 4a+b           ----------------------(ii)

Multiply (i) with a and (ii) with b

a²x + aby = a²-ab              ------------(iii)
b²x + aby = 4ab+b²           ------------(iv)

Subtract (iv) from (iii)

(a²-b²)x  = a²-ab-4ab-b² 
      x     =  a² - 5ab - b² 
                     a² - b²

Multiply (i) with b and (ii) with a

abx + b²y = ab-b²            ----------------(v)
abx + a²y = 4a²+ab          -----------------(vi)

Subtract (vi) from (v)

(b²-a²)y = -b²-4a²
        y   =  -(b²+4a²) 
                     b²-a²
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Hope this helped you !!
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