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17 April, 09:25

4x + y = 7

3x + 2y = 9

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Answers (1)
  1. 17 April, 11:54
    0
    x = 1

    y = 3

    Step-by-step explanation:

    Substitution Method:

    Step 1:

    Name The Equation

    4x + y = 7 ... (1)

    3x + 2y = 9 ... (2)

    Step 2:

    From Equation (1) we get,

    4x = 7 - y

    i. e.,

    x = 7 - y/4

    Step 3:

    Substitute the value of x = 7 - y/4 in equation (2)

    i. e.,

    3 (7 - y/4) + 2y = 9

    21 - 3y/4 + 2y = 9

    21 - 3y + 8y/4 = 9

    21 - 3y + 8y = 9 * 4

    21 + 5y = 36

    5y = 36 - 21

    5y = 15

    y = 15/5

    y = 3

    Step 4:

    Substitute the value of y = 3 in equation (1)

    4x + y = 7

    i. e.,

    4x + (3) = 7

    4x + 3 = 7

    4x = 7 - 4

    4x = 4

    x = 4/4

    x = 1

    Verification:

    4x + y = 7 i. e., 4 (1) + (3) = 7

    3x + 2y = 9 i. e., 3 (1) + 2 (3) = 9
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