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23 November, 13:03

What is the solution to this system of linear equations?

2x + 3y = 3

7x - 3y = 24

(2,7)

(3,-21)

(3,-1)

(9,0)

+5
Answers (2)
  1. 23 November, 14:06
    0
    The answer to your question is (3,-1)
  2. 23 November, 16:01
    0
    (3,-1)

    Step-by-step explanation:

    Add the two equations together to cancel out the 3y's: 2x + 7x + 3y - 3y = 3 + 24

    Simplify this down: 9x = 27

    Now divide through by 9: x = 3

    Replace x with 3 in either of the equations, I'm going to use the first one since it looks easier: 2 (3) + 3y = 3

    Simplifiy: 6 + 3y = 3

    And rearrange: 3y = - 3

    Divide by 3: y = - 1

    So the answer is (3,-1)
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