Need algebra help for solving a system of nonlinear equations

Algebra
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Solve the following system of equations

y - x = -1

12x² - 16x -y = -5

If more than one solution need all

Nov 16th, 2015

hello

y - x = -1

12x² - 16x -y = -5


y - x = -1

y = -1+x


substitute y = -1+x   in 12x² - 16x -y = -5

                                    12x² - 16x -( -1+x) = -5

                                     12x² - 17x +6 = 0

                                    (3x−2)(4x−3) = 0

                                     x =2/3  or x = 3/4


when x = 2/3

       y - x = -1

       y- 2/3 = -1

       y = -1 +2/3

       y= -1/3


when x = 3/4

       y - x = -1

       y- 3/4 = -1

       y = -1 +3/4

       y= -1/4


ANSWER IS

 x =2/3  and y= -1/3

 x = 3/4  and y= -1/4


                        /

hope you understood..please message if you have any doubts...thank you
Nov 16th, 2015

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