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