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12 February, 21:48

2x - 5y = 3

x - 3y = 1

(4, 1)

(5, 2)

(7, 2)

(9, 3)

+2
Answers (1)
  1. 12 February, 21:50
    0
    Assuming this a system of equations and you need the solution set, you can solve it by elimination or substitution--whichever you find easier. i'll use elimination:

    2x - 5y = 3

    x - 3y = 1

    here, it'll be pretty easy to get your x values to match so you can cancel them out. just multiply your bottom equation by 2, then subtract:

    2x - 5y = 3

    - (2x - 6y = 2)

    your 2x's cancel out and - 5y + 6y is simply y, so you're left with:

    y = 1

    that already gives you your answer, because you can see that the first ordered pair is the only pair with a y-value that's 1, but still, to check your x-value, you just plug your y-value into one of the equations:

    x - 3 (1) = 1

    x - 3 = 1

    x = 4

    so your solution is (4, 1).
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