Question

Find the value of x in x + y = 9 and x - y = 3.

Answer 1

Explanation

We are given the following equations:

`\begin{gathered} x+y=9\text{ \lparen equation 1\rparen} \\ x-y=3\text{ \lparen equation 2\rparen} \end{gathered}`

We are required to determine the value of x.

We can achieve this by using the elimination method as follows:

`\begin{gathered} Equation\text{ 1 + Equation 2} \\ x+x+y+(-y)=9+3 \\ 2x+0=12 \\ 2x=12 \\ (2x)/(2)=(12)/(2) \\ x=6 \end{gathered}`

Hence, the value of x is:

`x=6`