Question

I need help finding the difference of this equation

Answer 1

Answer:

Therefore the Values are

x = 5 and y = 3

Step-by-step explanation:

Given:

$x-y=2$     .....................Equation ( 1 )

$x+y=8$    .....................Equation ( 2 )

To Find :

Difference of Equation

i.e Equation ( 1 ) - Equation ( 2 ) = ?

Solution:

$x-y=2$     .....................Equation ( 1 )

$x+y=8$    .....................Equation ( 2 )

Now the Difference of Equation is

Equation ( 1 ) - Equation ( 2 )

Here left hand side of equation ( 2 ) will be subtracted by equation ( 1 )and be equal to right-hand side of equation to will be subtracted by equation (1). So the equation becomes,

$(x-y)-(x+y)=2-8\\x-y-x-y=-6\\\textrm{positive x negative x will cancel each other and negative y negative y will be added}\\\\\therefore -2y =-6\\\\\textrm{multiplying both the side by -1}\\\therefore 2y =6\\\\\therefore y =\frac{6}{2}\\ \\\therefore y =3$

Substituting y in equation ( 1 ) we get

$x-3=2\\\\x=2+3\\\\\therefore x =5$

Therefore the Values are

x = 5 and y = 3