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What is the intersection of the lines given by $2y=-x+3$ and $-y=5x+1$? Enter the answer as an ordered pair.

 May 7, 2020
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2y = -x + 3    or    y = -1/2 x + 3/2

                            y = -5x - 1

where they intersect they are equal....so equate them

-1/2 x + 3/2 = -5x-1

4 1/2 x = - 5/2

x =   -5/2  /  4 1/2    = -5/2 * 2/9  = -5/9      this is 'x'     put this value in one of the equations to compute 'y'

 May 7, 2020

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