Question

find x and if x+y=5 and x-y=3

Answer 1

Answer:

The value of $x$ in given equation is $4$.

Step-by-step explanation:

Given : Two equations are given, $x+y=5$ and $x-y=3$.

To find : the value of $x$.

Solution :

• The given equations are,  

       $x+y=5$    (i)

       $x-y=3$     (ii)

• We have to find the value of $x$ in these equations.
• In order to find the value of $x$, we have to add the equation (i) and (ii), we get  

       $x+y+x-y=5+3$

                   ∴ $2x = 8$    (∵$y-y=0$)

                    ∴ $x=\frac{8}{2}$

                    ∴ $x = 4$

• ∴ The value of $x$ in given equation is $4$.

Answer 2

Here two equations are given: x+y=5 and x-y=3

We have to find out the value of 'x'

For this, we will be using the elimination method.

Here as we have to find the value of x, we will eliminate y

To eliminate y, we will have to add the two equations.

x + y + x - y = 5 + 3

               2x = 8

                 x = 8 / 2

                 x = 4

Therefore, the value of x will be 4