The formula after making t subject of the formula is:
[tex]t = \frac{2-3q}{q+4}[/tex]
Step-by-step explanation:
Given formula is:
[tex]q = \frac{2-4t}{t+3}[/tex]
To make t the subject of the formula we have to isolate t
So,
Cross-multiplying
[tex]q(t+3) = 2-4t\\qt+3q = 2-4t[/tex]
Adding 4t on both sides
[tex]qt+3q+4t = 2-4t+4t\\qt+3q+4t = 2[/tex]
Subtracting 3q from both sides
[tex]qt+3q+4t-3q = 2-3q\\qt+4t = 2-3q[/tex]
Taking t common on left hand side
[tex]t(q+4)=2-3q[/tex]
Dividing both sides by q+4
[tex]\frac{t(q+4)}{q+4}=\frac{2-3q}{q+4}\\t = \frac{2-3q}{q+4}[/tex]
The formula after making t subject of the formula is:
[tex]t = \frac{2-3q}{q+4}[/tex]
