t-3/2+t+3/4=8-t/3+2

asked by guest
on Oct 26, 2024 at 5:22 am



You asked:

Solve the equation \(t - \frac{3}{2} + t + \frac{3}{4} = 8 - \frac{t}{3} + 2\) for the variable \(t\).

MathBot Answer:

The solution is: \[t = \frac{129}{28} = 4.60\overline{714285}\]

\[\begin{aligned}t - \frac{3}{2} + t + \frac{3}{4} &= 8 - \frac{t}{3} + 2\\2 t - \frac{3}{4} &= 10 - \frac{t}{3}\\\frac{7 t}{3} &= \frac{43}{4}\\t &= \frac{129}{28}\end{aligned}\]

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