Question
11:37 59 Done deltamath.com Assignment Overview 13 DeltaMath One Step Equations with (Positive) Decima This is the only question in this section. Question Video Examples Find the value of \( x \) in the equation below. \[ 8=\frac{x}{10} \] Answer Attempt 1 out of 2 \[ x= \] \( \square \) Submit Answer Copyright ©2025 DeltaMath.com All Rights Reserved.
Ask by Schwartz Daniels. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x=80 \)
Solution
Solve the equation \( 8=\frac{x}{10} \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(8=\frac{x}{10}\)
- step1: Swap the sides:
\(\frac{x}{10}=8\)
- step2: Cross multiply:
\(x=10\times 8\)
- step3: Simplify the equation:
\(x=80\)
The value of \( x \) in the equation \( 8=\frac{x}{10} \) is \( x=80 \).
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The Deep Dive
To solve the equation \( 8 = \frac{x}{10} \), you can start by eliminating the fraction. Multiply both sides of the equation by 10 to get \( 80 = x \). This technique of clearing fractions is super handy when dealing with equations and helps you avoid any miscalculations! An essential skill in solving equations is checking your answer. Once you find \( x = 80 \), you can plug it back into the original equation: \( 8 = \frac{80}{10} \). This simplifies to \( 8 = 8 \), confirming you've done it correctly. Always double-checking ensures you catch any sneaky errors before submitting!