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23 March, 06:48

What is the solution to this system of equations?

y = 3x + 5

y = - x + 3

a/ / (2.1, 11.3)

b/ / (-2.1, 5.1)

c/ / (-0.5, 3.5)

d/ / (0.5, 2.5)

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Answers (1)
  1. 23 March, 07:05
    0
    c

    Step-by-step explanation:

    Since both equations express y in terms of x we can equate the right sides

    3x + 5 = - x + 3 (add x to both sides)

    4x + 5 = 3 (subtract 5 from both sides)

    4x = - 2 (divide both sides by 4)

    x = - 0.5

    substitute x = - 0.5 in either of the 2 equations

    using y = - x + 3 then y = 0.5 + 3 = 3.5

    solution is ( - 0.5, 3.5) → c
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