Question竑 $$\begin{array}{l} \frac{5}{4} q=\frac{1}{3} q-\frac{2}{3}+2 \\ q=\square \end{array}$$ Submit

Studdy Solution
Calculate each side:
Left side:
$$\frac{5}{4} \times \frac{16}{11} = \frac{80}{44} = \frac{20}{11}$$
Right side:
$$\frac{1}{3} \times \frac{16}{11} - \frac{2}{3} + 2 = \frac{16}{33} - \frac{22}{33} + \frac{66}{33} = \frac{60}{33} = \frac{20}{11}$$
Both sides are equal, confirming the solution is correct.
The solution is:
$$q = \frac{16}{11}$$