Solve x/a=y/b; ax +yb = a square + b square
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Above answer considered a different question and solved. Here is the solution for mentioned question.
Correct answer is x = a and y = b.
Step-by-step explanation:
x/a = y/b -----------E1
ax + by = a² + b² ------------E2
from E1, we get
x = ay/b
Substitute above value in E2, we get
a(ay/b) + by = a² + b²
y(a²/b + b) = a² + b²
y(a² + b²)/b = a² + b²
y = b(a² + b²) /(a² + b² )
Thus we get y = b.
Substituting in any of the equations, we get x = a.
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