Question

if x + y = 25
x - y = 5
what is value of \\(\frac{x}{3}\\)
answer here..
enter

Explanation:

Step1: Add the two equations

We have the system of equations:

$$\begin{cases} x + y = 25 \\ x - y = 5 \end{cases}$$

Adding the two equations together: $(x + y) + (x - y) = 25 + 5$.
Simplifying the left side: $x + y + x - y = 2x$, and the right side: $30$. So we get $2x = 30$.

Step2: Solve for x

Divide both sides of $2x = 30$ by 2: $x=\frac{30}{2}=15$.

Step3: Find the value of $\frac{x}{3}$

Substitute $x = 15$ into $\frac{x}{3}$: $\frac{15}{3}=5$.

Answer:

5