Problem

Find the $\mathrm{x}$-intercept.
\[
\begin{array}{c}
y=\frac{2 x-10}{x+5} \\
([?], 0)
\end{array}
\]

Answer

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Answer

The x-intercept is \(\boxed{5}\)

Steps

Step 1 :Set y to zero: \(0 = \frac{2x - 10}{x + 5}\)

Step 2 :Cross multiply: \(0(x + 5) = 2x - 10\)

Step 3 :Expand the equation: \(0 = 2x - 10\)

Step 4 :Add 10 to both sides: \(10 = 2x\)

Step 5 :Divide both sides by 2: \(5 = x\)

Step 6 :The x-intercept is \(\boxed{5}\)

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