Question

Find the value of x in x + y = 9 and x - y = 2.

Answer 1

We are given the following equations:

`\begin{gathered} x+y=9,(1) \\ x-y=2,(2) \end{gathered}`

To determine the value of "x" we will add both equations. This way we will be able to cancel out the "y" variable:

`x+y+x-y=9+2`

Adding like terms:

`2x=11`

Now, we divide both sides by 2:

`x=(11)/(2)`

Solving the operations:

`x=5.5`

Therefore, the value of "x" is 5.5