solve the following pairs of linear equation by substitution method x+y=7,2x-3y=-11 ​

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solve the following pairs of linear equation by substitution method x+y=7,2x-3y=-11

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Eloise 7 months 2021-10-13T17:52:50+00:00 2 Answers 0 views 0

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    0
    2021-10-13T17:54:10+00:00

    Answer :

    x = 2 , y = 5

    Solution :

    Here ,

    The given equations are ;

    x + y = 7 ——(1)

    2x – 3y = -11 ———-(2)

    Using eq-(1) , we have ;

    => x + y = 7

    => x = 7 – y ——–(3)

    Now ,

    Substituting x = 7 – y in eq-(2) , we get ;

    => 2x – 3y = -11

    => 2(7 – y) – 3y = -11

    => 14 – 2y – 3y = -11

    => -2y – 3y = -11 – 14

    => -5y = -25

    => y = -25/-5

    => y = 5

    Now ,

    Putting y = 5 in eq-(3) , we get ;

    => x = 7 – y

    => x = 7 – 5

    => x = 2

    Hence ,

    x = 2 , y = 5

    0
    2021-10-13T17:54:12+00:00

    Answer:

    x+y=7 (eq-1)

    2x-3y=-11(eq 2)

    from equation 1

    x=7-y

    put x=7-y in equation 2

    2(7-y) -3y= -11

    14-2y-3y= -11

    -5y= -11-14

    -5y = -25

    y = -25/-5

    =5

    put y= 5 in equation 1

    x+5=7

    x=7-5

    =2

    Step-by-step explanation:

    hope it’s help you

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