Question

Solve the equation. Check your solution.

$-\frac{t}{4}=-3\mathrm{\pi }$

Answer 1

The given equation is:

$-\frac{t}{4}=-3\mathrm{\pi }$

Multiply both the sides by $-4$

$-4\times \frac{-t}{4}=-3\mathrm{\pi }\times \left(-4\right)$

Solving for t

$t=12\mathrm{\pi }$

Hence, the value of $t=12\mathrm{\pi }$

To check the solution, put $t=12\mathrm{\pi }$ in given equation

$\frac{-12\mathrm{\pi }}{4}=-3\mathrm{\pi }$

$\frac{-12\times 4\mathrm{\pi }}{4}=-3\times 4\mathrm{\pi }$

Multiply both the sides by 4

$-12\mathrm{\pi }=-12\mathrm{\pi }$

$LHS=RHS$

Thus, the value of $t=12\mathrm{\pi }$ satisfy the solution.