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16 January, 07:41

Solve the system of equations.

2x + 3y = 1

5x + 2 = 8

What is the solution?

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Answers (1)
  1. 16 January, 08:43
    0
    x = 2, y = - 1

    Step-by-step explanation:

    2x + 3y = 1 ... (1)

    5x + 2y = 8 ... (2)

    multiply equation (1) by 5 and equation (2) by 2

    10x + 15y = 5 ... (3)

    10x + 4y = 16 ... (4)

    solving by elimination method

    we subtract equation (4) from (3)

    hence ...

    11y = - 11

    dividing both sides by 11

    y = - 1

    substituting y = - 1 in equation (1) to solve for the value of x

    2x + 3 (-1) = 1

    2x - 3 = 1

    rearranging,

    2x = 3 + 1

    2x = 4

    dividing both sides by 2

    x = 2
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