Respuesta :
Given:
[tex]\to \bold{-x -7y = 14}\\\\\to \bold{-4x -14y =28}\\\\[/tex]
To find:
[tex]\bold{x \ and \ y}=?[/tex]
Solution:
[tex]\to \bold{-x -7y = 14}..................... (i) \\\\\to \bold{-4x -14y =28} .................(ii)\\\\[/tex]
Solving the equation (i):
[tex]\to \bold{-x -7y = 14} \\\\ \to \bold{-x= 14+7y} \\\\ \to \bold{x= - (14+7y)} \\\\[/tex]
Putting the value of x into the equation (ii):
[tex]\to \bold{-4(-(14+7y)) -14y =28} \\\\\to \bold{4(14+7y) -14y =28} \\\\\to \bold{56+28y -14y =28} \\\\\to \bold{56+14y =28} \\\\\to \bold{28+14y =0} \\\\\to \bold{14y =-28} \\\\\to \bold{y =\frac{-28}{14}} \\\\\to \bold{y =-2} \\\\[/tex]
Putting the value of y into the equation (i):
[tex]\to \bold{-x -7(-2) = 14}\\\\\to \bold{-x +14 = 14}\\\\\to \bold{-x = 14-14}\\\\\to \bold{x = 0}\\\\[/tex]
So, the value of [tex]\bold{x=0 \ and\ y= -2}\\\\[/tex]
Learn more:
brainly.com/question/10151402
