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3 April, 21:14

2x + 5y = - 3

2x + 2y = 6

+1
Answers (2)
  1. 3 April, 21:19
    0
    (6, - 3)

    Step-by-step explanation:

    Given the 2 equations

    2x + 5y = - 3 → (1)

    2x + 2y = 6 → (2)

    Subtracting (1) from (2) term by term will eliminate the x - term

    (2x - 2x) + (2y - 5y) = 6 - ( - 3), that is

    - 3y = 9 (divide both sides by - 3)

    y = - 3

    Substitute y = - 3 in either of the 2 equations and solve for x

    Substituting y = - 3 in (1)

    2x + 5 ( - 3) = - 3

    2x - 15 = - 3 (add 15 to both sides)

    2x = 12 (divide both sides by 2)

    x = 6

    Solution is (6, - 3)
  2. 3 April, 21:36
    0
    Answer: x = 6 and y = - 3

    Step-by-step explanation: What we have in this question is a pair of simultaneous equations,

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

    2x + 2y = 6 - - - (2)

    We shall use the elimination method to solve this since none of the variables has a coefficient of 1. We multiply equation (1) by 2 and multiply equation (2) by 5 {to eliminate the y variable). So we now have,

    2x + 5y = - 3 - - - x2

    2x + 2y = 6 - - - x5

    4x + 10y = - 6 - - - (3)

    10x + 10y = 30 - - (4)

    Subtract equation (3) from equation (4)

    10x - 4x + (10y - 10y) = 30 - (-6)

    6x = 30 + 6

    6x = 36

    Divide both sides of the equation by 6

    x = 6

    Having calculated that x = 6, substitute for the value of x into equation (1)

    2x + 5y = - 3

    2 (6) + 5y = - 3

    12 + 5y = - 3

    Subtract 12 from both sides of the equation

    5y = - 3 - 12

    5y = - 15

    Divide both sides of the equation by 5

    y = - 3

    Therefore x equals 6 and y equals - 3
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