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AnilSinghBora
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Solve the following pair of linear equations by the elimination method and the substitution method: (i) x + y = 5 and 2x – 3y = 4 Q.1(1)

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I want the solution of this question of both 2 method of elimination and the substitution method. Please help me for solving this question   Solve the following pair of linear equations by the elimination method and the substitution method: (i) x + y = 5 and 2x – 3y = 4

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  1. By the method of elimination.

    x + y = 5 ……………………………….. (i)

    2x – 3y = 4 ……………………………..(ii)

    When the equation (i) is multiplied by 2, we get

    2x + 2y = 10 ……………………………(iii)

    When the equation (ii) is subtracted from (iii) we get,

    5y = 6

    y = 6/5 ………………………………………(iv)

    Substituting the value of y in eq. (i) we get,

    x=5−6/5 = 19/5

    ∴x = 19/5 , y = 6/5

    By the method of substitution.

    From the equation (i), we get:

    x = 5 – y………………………………….. (v)

    When the value is put in equation (ii) we get,

    2(5 – y) – 3y = 4

    -5y = -6

    y = 6/5

    When the values are substituted in equation (v), we get:

    x =5− 6/5 = 19/5

    ∴x = 19/5 ,y = 6/5

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