Question

enter the correct answer that completes the sentence below. the x-intercept of the graph of 5x + 3y = 15 is \boxed{}. (type an ordered pair.)

Explanation:

Step1: Recall x - intercept definition

The x - intercept of a graph is the point where the graph intersects the x - axis. At the x - axis, the value of \(y = 0\).

Step2: Substitute \(y = 0\) into the equation

We are given the equation \(5x+3y = 15\). Substitute \(y = 0\) into this equation:
\[

$$\begin{align*} 5x+3(0)&=15\\ 5x&=15 \end{align*}$$

\]

Step3: Solve for \(x\)

Divide both sides of the equation \(5x = 15\) by 5:
\[
x=\frac{15}{5}=3
\]
Since \(y = 0\) when \(x = 3\), the x - intercept is the ordered pair \((3,0)\).

Answer:

\((3,0)\)