Pregunta
Solve using the addition principle. Don't forget to perform a check. \( 6.4=x-2.5 \)
Ask by Daniel Jimenez. in the United States
Feb 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( x = 8.9 \)
Solución
We start with the equation:
6.4 = x – 2.5
Step 1: Use the addition principle to isolate x. Add 2.5 to both sides of the equation:
6.4 + 2.5 = (x – 2.5) + 2.5
Step 2: Simplify both sides:
6.4 + 2.5 = x
Step 3: Calculate the left side:
6.4 + 2.5 = 8.9
Thus, x = 8.9.
Check:
Substitute x = 8.9 back into the original equation:
6.4 = 8.9 – 2.5
8.9 – 2.5 = 6.4
Since both sides are equal, the solution x = 8.9 is correct.
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Simplifique esta solución Beyond the Answer
To solve the equation \( 6.4 = x - 2.5 \) using the addition principle, you want to isolate \( x \). To do this, you add \( 2.5 \) to both sides of the equation: \( 6.4 + 2.5 = x \) This simplifies to: \( 8.9 = x \) Now, for the check: Substitute \( x \) back into the original equation: \( 6.4 = 8.9 - 2.5 \) Calculating the right side gives: \( 8.9 - 2.5 = 6.4 \) Since both sides of the equation match, our solution \( x = 8.9 \) is confirmed as correct!
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