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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