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make t the subject of the formula
P= 3-2t
—————
4+t


Sagot :

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]