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Step-by-step explanation:

x + y = 1           (I)

5x + 3y = -3 (II)

Multiply (I) by (-5)    -5x - 5y = -5

                               5x + 3y = -3          {Now add}

                                     -2y = -8  

                                        y = -8/-2

                                        y = 4

Plugin y = 4 in equation (I)

x + 4 = 1

    x   = 1 -4

    x = -3

Solution: (-3, 4)

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