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In Mathematics / Middle School | 2014-09-29

Solve the equation:

\[\frac{2}{7}(14q + \frac{7}{2}) - 3q = 9\]

Please show all work.

Asked by lina1314

Answer (3)

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Answered by Albina | 2024-06-10

The **equivalent **value of the **expression **is q = 8
Given data:
The **expression **is represented as 7 2 ​ ( 14 q + 2 7 ​ ) − 3 q = 9 .
On simplifying the equation :
7 2 ​ ∗ 14 q + 7 2 ​ ∗ 2 7 ​ − 3 q = 9
From the distributive law:
4 q + 1 − 3 q = 9
Grouping the like terms together:
q + 1 = 9
Subtracting 1 on both sides:
q = 9 - 1
q = 8
Therefore, the value of q = 8.
Hence, the **expression **is q = 8.
To learn more about equations :
https://brainly.com/question/19297665
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Answered by psm22415 | 2024-06-17

The solution to the equation is q = 8. By distributing the fraction, combining like terms, and isolating the variable, we find that q equals 8. This provides the value of q that satisfies the equation.
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Answered by psm22415 | 2024-10-09

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