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30 June, 15:24

Solve the system of equations.

2x - 5y = 3

x - 3y = 1

+2
Answers (2)
  1. 30 June, 15:34
    0
    Answer: what are you trying to find
  2. 30 June, 15:44
    0
    (4, 1)

    Step-by-step explanation:

    Given the 2 equations

    2x - 5y = 3 → (1)

    x - 3y = 1 → (2)

    Rearrange (2) expressing x in terms of y by adding 3y to both sides)

    x = 1 + 3y → (3)

    Substitute x = 1 + 3y in (1)

    2 (1 + 3y) - 5y = 3 ← distribute left side

    2 + 6y - 5y = 3, that is

    2 + y = 3 (subtract 2 from both sides)

    y = 1

    Substitute y = 1 into (3) for corresponding value of x

    x = 1 + (3 * 1) = 1 + 3 = 4

    Solution is (4, 1)
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