Pregunta
Use complete sentences to describe why it is necessary to do the same thing to both sides of an equation to perf
valid operations.
valid operations.
Ask by Jimenez Sandoval. in South Africa
Jan 22,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
To solve equations correctly, you must do the same thing to both sides to keep the equation balanced. This ensures that the relationship between the variables remains unchanged, allowing you to find the correct solution without disrupting the equality.
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The Deep Dive
When solving an equation, performing the same operation on both sides is essential because it preserves the equality of the equation. For example, if you have an equation like 2x + 3 = 7 and you subtract 3 from both sides, you maintain the balance, making it 2x = 4. This allows you to isolate the variable without altering the relationship between the two sides.
By ensuring that both sides are treated equally, you avoid introducing errors that could lead to incorrect solutions. Think of it like a seesaw: if you add a weight to one side, you must also add an equivalent weight to the other to keep it balanced. This fundamental principle allows you to confidently solve equations systematically.
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