Question
Determine whether 5 is a solution of the equation \( 7 x+5=40 \).
Ask by Phillips Gibson. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
5 is a solution of the equation.
Solution
To determine if 5 is a solution of the equation 7x + 5 = 40, substitute x = 5 into the equation:
7(5) + 5 = 35 + 5 = 40
Since the left-hand side equals the right-hand side (40 = 40), 5 is indeed a solution of the equation.
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Simplify this solution The Deep Dive
To check if 5 is a solution of the equation \( 7x + 5 = 40 \), we substitute \( x \) with 5: \( 7(5) + 5 = 35 + 5 = 40 \). Since both sides of the equation equal 40, we confirm that \( 5 \) is indeed a solution! Now you’ve got the math magic down, but did you know that testing solutions isn't just for equations? In many real-world scenarios, like programming or engineering, verifying solutions can save time and resources—think of it as a quality check before executing your plans!
