Respuesta :

Answer:

Option D is correct

( -3, -1 )

Step-by-step explanation:

equation 1 is

y = -2x -7

and equation 2 is

2y - x = 1

so from 1 we have y = -2x - 7 put in 2

2 ( -2x - 7 ) -x = 1

-4x - 14 - x = 1

- 5x = 1 + 14

X = 15/-5

X= - 3

put in equation 1

Y = - 2 ( -3) - 7

Y= 6 - 7

Y = - 1

Solution of  the given equations D.[tex]\boldsymbol{(-3,-1)}[/tex].

An equation is a mathematical expression that contains an equals symbol.

Given equations are as follows:

       [tex]y=-2x-7[/tex]    

[tex]2y-x=1[/tex]

Put value of [tex]\boldsymbol{y}[/tex] from the first equation to the second equation.

[tex]2(-2x-7)-x=1[/tex]

   [tex]-4x-14-x=1[/tex]

                 [tex]-5x=15[/tex]

                     [tex]x=-3[/tex]

Now, put value of [tex]x[/tex] in the equation [tex]2y-x=1[/tex].

[tex]2y-(-3)=1[/tex]

           [tex]2y=-2[/tex]

             [tex]y=-1[/tex]

Option D. is correct.

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