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In Mathematics / Middle School | 2014-09-04

Solve for \( b \) in the equation:

\[ \frac{b - 4Z}{7} = a \]

Asked by adishman

Answer (3)

7 b − 4 z ​ = a ∣ m u lt i pl y b o t h s i d es b y 7 b − 4 z = 7 a ∣ a dd 4 z t o b o t h s i d es b = 7 a + 4 z ​

Answered by Anonymous | 2024-06-10

To solve for b in the equation b - 4Z over 7 = a, multiply by 7 to eliminate the fraction, resulting in b = 7a + 4Z, and then check the answer to ensure it's reasonable.
To solve the equation b - 4Z over 7 = a for b, you want to isolate b on one side of the equation. To do this, first, you can multiply both sides of the equation by 7 to eliminate the fraction. This gives you the equation b - 4Z = 7a. Next, you would add 4Z to both sides to get b = 7a + 4Z. Now you have successfully solved for b in terms of a and Z.
It's always important to check the answer to ensure it makes sense with the original equation. By substituting b back into the original equation with the values for a and Z, you can verify that the left side equals the right side, confirming the solution is reasonable.

Answered by ToddBoyce | 2024-06-24

To solve for b in the equation 7 b − 4 Z ​ = a , multiply both sides by 7 to eliminate the fraction, resulting in b − 4 Z = 7 a . Then, add 4 Z to both sides to arrive at b = 7 a + 4 Z .
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Answered by Anonymous | 2024-09-30