Respuesta :

Good morning Sonny

y-4x=7

2y+4x=2

We need to solve -4x+y=7 for y

Now let's start by adding 4x to both sides

-4x+y+4x=7+4x

y=4x+7

Now substitute 4x+7 for y in 4x+2y=2 so we can find the value for x

4x+2y=2

4x+2(4x+7)=2

12x+14=2

Add -14 to both sides

12x=14-14=2-14

12x=-12

Now divide 12 to both sides so we can find x

12x/12=-12/12

x=-1

Now we need to find the value for y by substitute -1 for x in y=4x+7

y=4x+7

y=(4)(-1)+7

y=3

Work done ;)

Answer : x=-1 and y=3

               (-1,3)

                D


I hope that's help :0

This can be determined  by  method of system of linear equation. Therefore, the correct option is D i.e. (-1,3) where, x= -1  and y = 3.

Given :

[tex]y - 4x = 7[/tex]                                                       ...(1)  

[tex]2y + 4x = 2[/tex]                                                     ...(2)

To  obtain the value of x and y,

From equation (1)  find the value of y

[tex]y=7+4x[/tex]                                                        ...(3)

put this value in (2) and solve it further,

[tex]\begin{aligned}2y+4x&=2\\2(7+4x)+4x&=2\\14+8x+4x&=2\\12x&=-12\\x&=-1\end{aligned}[/tex]                                         ...(4)

                                   

Put the value of x=-1 in equation (3),

Thus we get,

,[tex]y=7+4(-1)\\y=7-4\\y=3[/tex]

Therefore, the correct option is D i.e. (-1,3) where, x= -1  and y = 3.

For further details, please prefer this link:

https://brainly.com/question/13631560