Pls solve on paper using eliminate method
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Pls solve on paper using eliminate method
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EXPLANATION.
⇒ x/a + y/b = 2. - - - - - (1).
⇒ ax - by = (a² - b²). - - - - - (2).
As we know that,
We can write equation (1) as,
⇒ bx + ay = 2ab. - - - - - (1).
⇒ ax - by = a² - b². - - - - - (2).
Multiply equation (1) by b.
Multiply equation (2) by a.
⇒ bx + ay = 2ab. - - - - - (1). x b.
⇒ ax - by = a² - b². - - - - - (2). x a.
We get,
⇒ b²x + aby = 2ab². - - - - - (3).
⇒ a²x - aby = a³ - ab². - - - - - (4).
Adding equation (3) and (4), we get.
⇒ b²x + a²x = 2ab² + (a³ - ab²).
⇒ b²x + a²x = 2ab² + a³ - ab².
⇒ b²x + a²x = a³ + ab².
⇒ (b² + a²)x = a(a² + b²).
⇒ x = a.
Put the value of x = a in the equation (2), we get.
⇒ ax - by = a² - b².
⇒ a(a) - by = a² - b².
⇒ a² - by = a² - b².
⇒ - by + b² = a² - a².
⇒ - by + b² = 0.
⇒ b(- y + b) = 0.
⇒ - y + b = 0.
⇒ y = b.
Values of x = a and y = b.