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Answer:
[tex]t = \frac{3 - 4p}{p + 2}[/tex]
Step-by-step explanation:
Given
[tex]P = \frac{3 - 2t}{4 + t}[/tex]
Required
Make t the subject
[tex]P = \frac{3 - 2t}{4 + t}[/tex]
Cross Multiply
[tex]P * (4 + t) = 3 - 2t[/tex]
[tex]4p + tp = 3 - 2t[/tex]
Collect Like Terms
[tex]tp + 2t = 3 - 4p[/tex]
Factorize:
[tex]t(p+2) = 3 - 4p[/tex]
Make t the subject
[tex]t = \frac{3 - 4p}{p + 2}[/tex]