Question

$\frac{x}{y} = 4, x - y = 6$
$x + y = ?$

Explanation:

Step1: From $\frac{x}{y}=4$, express $x$ in terms of $y$.

From $\frac{x}{y} = 4$, we can multiply both sides by $y$ (assuming $y
eq0$) to get $x = 4y$.

Step2: Substitute $x = 4y$ into $x - y = 6$.

Substitute $x = 4y$ into $x - y = 6$, we have $4y - y = 6$. Simplifying the left side gives $3y = 6$.

Step3: Solve for $y$.

Divide both sides of $3y = 6$ by 3: $y=\frac{6}{3}=2$.

Step4: Find $x$ using $x = 4y$.

Substitute $y = 2$ into $x = 4y$: $x = 4\times2 = 8$.

Step5: Calculate $x + y$.

Now that we have $x = 8$ and $y = 2$, we can find $x + y$: $x + y=8 + 2 = 10$.

Answer:

10