Question

Solve the following system of linear equations for x and y :

ax +by = 2ab , bx +ay = a2+b2

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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

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ax + by =2ab ..(1)

bx + ay = a²+b² ...(2)

multiply by b in (1) and a in (2)

we get ,

abx+b²y=2ab²

abx+a²y=a³+ab²

subtract (1)-(2),

Y(-a²+b²)=2ab²-a³-ab²

y(-a²+b²)=ab²-a³

y= (ab²-a³)/(-a²+b²)

y= a(b²-a²)/(b²-a²)

y=a

put value in (1),

ax+b[a]=2ab

ax=2ab-ab

ax= ab

x=ba/a

x=b

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