Question

Solve by substitution method

Answer 1

Step-by-step explanation:

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Answer 2

Question:

Solve by substitution method.

√2 x + √3 y = 0

√3 x - √8 y = 0

Answer:

The solution of the given equations is

( x, y ) = ( 0, 0 ).

Step-by-step-explanation:

The given linear equations are

√2 x + √3 y = 0

⇒ √3 y = - √2 x

⇒ y = - √2 x / √3 - - - ( 1 ) &

√3 x - √8 y = 0

⇒ √3 x - √8 ( - √2 x / √3 ) = 0

⇒ √3 x + ( √16 x / √3 ) = 0

⇒ √3 x + ( 4x / √3 ) = 0

⇒ ( √3 * √3 x + 4x ) / √3 = 0

⇒ 3x + 4x = 0 * √3

⇒ 7x = 0

⇒ x = 0 / 7

⇒ x = 0

By substituting x = 0 in equation ( 1 ),

y = - √2 x / √3

⇒ y = - √2 * 0 / √3

⇒ y = 0 / √3

⇒ y = 0

∴ The solution of the given equations is

( x, y ) = ( 0, 0 ).