Question

if(2x^2 - 2y^2) =125 and x-y =2.5 find (x + y)

Answer 1

Answer:

Step-by-step explanation:

take common that is 2

after that divide 125 by 2= 62.5

then use formula of x^{2}  - y^{2} that is (x+y) (x-y)

then divide 62.5 by 2.5

your answer will be 25

Answer 2

Given :

$(2x^2 - 2y^2) =125$

$x-y =2.5$

To Find :

find (x + y)

Solution:

We are given a equation :

$(2x^2 - 2y^2) =125$

Take 2 as common from LHS

So, $x^2-y^2=\frac{125}{2}$

Formula : $a^2-b^2 =(a+b)(a-b)$

So, $(x+y)(x-y)=\frac{125}{2}$

we are given that x-y =2.5

So,$(x+y)(2.5)=\frac{125}{2}$

$x+y=\frac{125}{2 \times 2.5}$

x+y=25

Hence The value of x+y is 25