Question
Divide each side of the equation by -21 . \( \begin{array}{l}-42=-21 x \\ 2=x\end{array} \) (Type an integer or a simplified fraction.) Thus, the \( x \)-intercept is (Type an ordered pair.)
Ask by Li John. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 2 \)
Thus, the \( x \)-intercept is \((2, 0)\).
Solution
To solve for \( x \) by dividing each side of the equation by \(-21\):
\[
-42 = -21x
\]
Divide both sides by \(-21\):
\[
\frac{-42}{-21} = x \quad \Rightarrow \quad 2 = x
\]
**Thus, the \( x \)-intercept is \((2, 0)\).**
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**Answer:**
2
Thus, the \( x \)-intercept is \((2,\ 0)\).
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Simplify this solution The Deep Dive
When you divide each side of the equation \(-21x = -42\) by \(-21\), you simplify it to \(x = 2\). This means that the value of \(x\) when the equation equals zero is 2. To find the x-intercept of the equation, you're looking for the point where the graph crosses the x-axis, which occurs when \(y = 0\). Therefore, the x-intercept is the ordered pair \((2, 0)\).
