Question

-x -7y = 14 -4x -14y =28

Answer 1

Given:

$\to \bold{-x -7y = 14}\\\\\to \bold{-4x -14y =28}$

To find:

$\bold{x \ and \ y}=?$

Solution:

$\to \bold{-x -7y = 14}..................... (i) \\\\\to \bold{-4x -14y =28} .................(ii)$

Solving the equation (i):

$\to \bold{-x -7y = 14} \\\\ \to \bold{-x= 14+7y} \\\\ \to \bold{x= - (14+7y)}$

Putting the value of x into the equation (ii):

$\to \bold{-4(-(14+7y)) -14y =28} \\\\\to \bold{4(14+7y) -14y =28} \\\\\to \bold{56+28y -14y =28} \\\\\to \bold{56+14y =28} \\\\\to \bold{28+14y =0} \\\\\to \bold{14y =-28} \\\\\to \bold{y =\frac{-28}{14}} \\\\\to \bold{y =-2}$

Putting the value of y into the equation (i):

$\to \bold{-x -7(-2) = 14}\\\\\to \bold{-x +14 = 14}\\\\\to \bold{-x = 14-14}\\\\\to \bold{x = 0}$

So, the value of $\bold{x=0 \ and\ y= -2}$

Learn more:

brainly.com/question/10151402