Math, asked by jayababusrgmailcom36, 1 year ago

solve the pair of linear eq using suitable methods

y-4x=1
6x-5y=9​

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Answered by ryan637731
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Answered by Anonymous
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Question

solve the pair of linear eq. using suitable methods , y-4x=1 ; 6x-5y=9

Solution

Given:-

  • 4x - y = -1 ---------(1)
  • 6x - 5y = 9 -------(2)

Find:-

  • value of x and y .

Explanation

Substitution method

by equation, (1),

➠ x = (y-1)/4 ---------(3)

substitute value of x in equ(2)

➠ 6* (y-1)/4 - 5y = 9

➠ 3*(y-1)/2 - 5y = 9

➠ 3y - 3 - 10y = 18

➠ -7y = 21

➠ y = -21/7

➠ y = -3

Keep value of y in equ(3),

➠ x = (-3-1)/4

➠ x = -4/4

➠ x = -1

Thus:-

  • Value of x = -1
  • Value of y = -3

_____________________

Verification

Keep value of x and y in equ(1),

➠ 4 * (-1) - (-3) = -1

➠ - 4 + 3 = -1

➠ -1 = -1

L.H.S = R.H.S

that's proved .

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