Question

Solve by substitution method...​

Answer 1

Answer:

NOT THE PROPER ANSWER BUT U GET HELP FROM IT..

Answer 2

Question:

Solve by substitution method.

( 2x / a ) + ( y / b ) = 2

( x / a ) - ( y / b ) = 4

Answer:

The solution of the given equations is

( x, y ) = ( 2a, - 2b ).

Step-by-step-explanation:

The given linear equations are

( 2x / a ) + ( y / b ) = 2 - - - ( 1 ) &

( x / a ) - ( y / b ) = 4

⇒ ( xb - ay ) / ab = 4

⇒ xb - ay = 4ab

⇒ xb - 4ab = ay

⇒ y = ( xb - 4ab ) / a - - - ( 2 )

By substituting this value of y in equation ( 1 ),

( 2x / a ) + ( y / b ) = 2 - - - ( 1 )

⇒ ( 2xb + ay ) / ab = 2

⇒ 2xb + ay = 2ab

⇒ 2xb + a ( xb - 4ab ) / a = 2ab

⇒ 2xb + ( xb - 4ab ) = 2ab

⇒ 2xb + xb - 4ab = 2ab

⇒ 3xb = 2ab + 4ab

⇒ 3xb = 6ab

⇒ x = 6ab / 3b

⇒ x = 2a

By substituting x = 2a in equation ( 2 ),

y = ( xb - 4ab ) / a - - - ( 2 )

⇒ y = ( 2ab - 4ab ) / a

⇒ y = - 2ab / a

⇒ y = - 2b

∴ The solution of the given equations is

( x, y ) = ( 2a, - 2b ).