Pregunta
Solve using the addition principle. Don't forget to perform a check. \( 5.4=x+3.7 \)
Ask by Bowen Mccoy. in the United States
Feb 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( x = 1.7 \)
Solución
We start with the equation:
5.4 = x + 3.7
To isolate x, subtract 3.7 from both sides (this is the subtraction form of the addition principle). Doing so gives:
5.4 - 3.7 = x + 3.7 - 3.7
Simplify both sides:
1.7 = x
Thus, the solution is:
x = 1.7
Check:
Substitute x = 1.7 back into the original equation:
1.7 + 3.7 = 5.4
Since the left-hand side equals the right-hand side, the solution is correct.
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Simplifique esta solución Extra Insights
To solve \( 5.4 = x + 3.7 \) using the addition principle, you want to isolate \( x \). You can do this by subtracting \( 3.7 \) from both sides of the equation. So, \( 5.4 - 3.7 = x \), which simplifies to \( 1.7 = x \). Now, let’s perform a quick check! Substitute \( x \) back into the original equation: \( 5.4 = 1.7 + 3.7 \). Adding \( 1.7 \) and \( 3.7 \) gives you \( 5.4 \), confirming that our solution is correct!
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