Set $$ y=0 $$ and solve for $$ x $$ $$ \begin{array}{r}6 y-42=-21 x\end{array} $$ istructor

Question

UpStudy AI · Accepted Answer

Certainly! Let's solve the equation by setting $$ y = 0 $$ and finding the corresponding value of $$ x $$.

**Given Equation:**
$$
6y - 42 = -21x
$$

**Step 1: Substitute $$ y = 0 $$ into the equation.**
$$
6(0) - 42 = -21x
$$

**Step 2: Simplify the left side of the equation.**
$$
0 - 42 = -21x
$$
$$
-42 = -21x
$$

**Step 3: Solve for $$ x $$ by dividing both sides of the equation by $$-21$$.**
$$
x = \frac{-42}{-21}
$$

**Step 4: Simplify the fraction.**
$$
x = 2
$$

**Conclusion:**
When $$ y = 0 $$, the value of $$ x $$ is $$ 2 $$.

$$
\boxed{x = 2}
$$
When $$ y = 0 $$, $$ x = 2 $$.

Set \( y=0 \) and solve for \( x \) \[ \begin{array}{r}6 y-42=-21 x\end{array} \] istructor \[ \]