Question

solve
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Answer 1

Answer:

Heya friend

Here's your answer

x = - (1 / 6) and y = 1/4

Step-by-step explanation:

1/2 ( x + 2y ) + 5/3 ( 3x - 2y ) = -3/2

⇒ x/2 + y + 5x -10y/3 = - 3/2

⇒ x/2 + 5x + y - 10y/3 = - 3/2

⇒ ( x + 10x ) / 2 + ( 3y - 10y ) / 3 = - 3/2

⇒ 11x/2 - 7y/3 = - 3/2

⇒ 11x - 14y/3 = - 3  [ multiply 2 in both side ]

⇒ 33x - 14y = - 9 [ multiply 3 in both side ]      ........ ( 1 )

5/4(x+2y)-3/5(3x-2y)=61/60

⇒ 5x/ 4 + 10y/4 - 9x/5 + 6y/5 = 61/60

⇒ 5x/4 - 9x/5 + 10y/4 + 6y/5 = 61/60

⇒ ( 25x - 36x ) / 20 + ( 50y + 24y ) / 20 =  61/60

⇒ - 11x/20 + 74y/20 =  61/60

⇒ - 11x + 74y = 61/ 3 [ multiply 20 in both side] ............( 2 )

⇒ - 33x + 222y = 61 [ multiply 3 in both side ]  .............( 3 )

add equation 1 and equation 3

  33x - 14y = - 9

- 33x + 222y = 61

222y - 14y = 61 - 9

⇒ 208y = 52

⇒ y = 52/208

⇒ y = 1/4  

put the value of y in equation 1

x = - 1/6

Hope it helps

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