Pregunta
\( 1 \leftarrow \quad \) Solve for x . Check your solution. \( 0.7 \mathrm{x}=0.56 \) \( \mathrm{x}=\square \) (Simplify your answer.)
Ask by Alexander Cook. in the United States
Feb 05,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\( \mathrm{x} = 0.8 \)
Solución
To solve for \( \mathrm{x} \) in the equation:
\[
0.7\,\mathrm{x} = 0.56
\]
**Step 1: Isolate \( \mathrm{x} \)**
Divide both sides of the equation by 0.7 to solve for \( \mathrm{x} \):
\[
\mathrm{x} = \frac{0.56}{0.7}
\]
**Step 2: Simplify the Fraction**
\[
\mathrm{x} = 0.8
\]
**Step 3: Check the Solution**
Substitute \( \mathrm{x} = 0.8 \) back into the original equation to verify:
\[
0.7 \times 0.8 = 0.56
\]
\[
0.56 = 0.56 \quad \text{✓}
\]
The solution satisfies the original equation.
\[
\mathrm{x} = 0.8
\]
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Beyond the Answer
To solve for \( x \) in the equation \( 0.7x = 0.56 \), we can start by dividing both sides by \( 0.7 \): \[ x = \frac{0.56}{0.7}. \] Calculating that gives: \[ x = 0.8. \] Now, let's check our solution by substituting \( x \) back into the original equation: \[ 0.7 \times 0.8 = 0.56. \] Since \( 0.56 = 0.56 \), we confirm that our solution is correct. Thus, \( x = 0.8 \).
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