Questions: Find the x-intercept of the line 7x+4y=28. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Find the x-intercept of the line 7x+4y=28. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
Transcript text: Find the $x$-intercept of the line $7 x+4 y=28$. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair. $\square$ Submit
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Solution

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Solution Steps

Step 1: Set \( y \) to 0

To find the \( x \)-intercept of the line given by the equation \( 7x + 4y = 28 \), we set \( y \) to 0.

Step 2: Substitute \( y = 0 \) into the equation

Substituting \( y = 0 \) into the equation \( 7x + 4y = 28 \) gives: \[ 7x + 4(0) = 28 \] which simplifies to: \[ 7x = 28 \]

Step 3: Solve for \( x \)

Solving the equation \( 7x = 28 \) for \( x \) gives: \[ x = \frac{28}{7} = 4 \]

Final Answer

\(\boxed{4}\)

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