Pregunta
To solve the equation \( 7=\frac{x}{-3} \) for \( x \), what operation must be applted to both sides in order to isclat the vartable \( x \) ? a.) Multiply by -3 b.) Add -3 c.) Divide -3 d.) Divide by -3
Ask by Huang Dawson. in the United States
Jan 26,2025
Solución de tutoría real
Respuesta verificada por el tutor
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To solve \( 7 = \frac{x}{-3} \) for \( x \), multiply both sides by \(-3\).
Solución
To solve the equation \( 7 = \frac{x}{-3} \) for \( x \), you need to isolate \( x \) by eliminating the denominator \(-3\).
**Operation to Apply:**
Multiply both sides of the equation by \(-3\).
**Step-by-Step Solution:**
\[
7 = \frac{x}{-3}
\]
Multiply both sides by \(-3\):
\[
7 \times (-3) = x
\]
\[
x = -21
\]
**Correct Answer:**
**a.) Multiply by -3**
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Mind Expander
To isolate the variable \( x \), you need to eliminate the denominator that is currently dividing \( x \). This means you should multiply both sides of the equation by -3. By doing this, you effectively cancel out the division and can directly solve for \( x \). So, the correct operation to apply is to multiply by -3. After multiplying, your equation will transform, making it much simpler to find the value of \( x \). Remember, balancing the equation is key, so whatever you do to one side must also be done to the other!
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