Pregunta
Solve for \( y \) \[ -\frac{7}{9} y=-21 \]
Ask by Wyatt Marshall. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\( y = 27 \)
Solución
Solve the equation \( -\frac{7}{9}y=-21 \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(-\frac{7}{9}y=-21\)
- step1: Change the signs:
\(\frac{7}{9}y=21\)
- step2: Multiply by the reciprocal:
\(\frac{7}{9}y\times \frac{9}{7}=21\times \frac{9}{7}\)
- step3: Multiply:
\(y=27\)
The solution to the equation \(-\frac{7}{9}y=-21\) is \(y=27\).
Revisado y aprobado por el equipo de tutoría de UpStudy
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The Deep Dive
To solve for \( y \), we first need to isolate it. We start with the equation: \[ -\frac{7}{9} y = -21 \] To eliminate the fraction, we can multiply both sides of the equation by \(-\frac{9}{7}\): \[ y = -21 \times -\frac{9}{7} \] Calculating the right side gives us: \[ y = 21 \times \frac{9}{7} = 3 \times 9 = 27 \] Thus, the solution is: \[ y = 27 \]
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