Solve for t and simplify your answer. 16=-(2)/(3)t Answer:

Write Equation: Write down the equation. The given equation is 16 = -(2/3)t.Isolate Variable: Isolate the variable t. To isolate t, we need to get rid of the fraction and the negative sign. We can do this by multiplying both sides of the equation by -3/2. (-3/2) * 16 = (-3/2) * (-(2/3)t)Perform Multiplication: Perform the multiplication on both sides. On the left side, (-3/2) * 16 = -24. On the right side, (-3/2) * (-(2/3)t) simplifies to t because the -3/2 and -2/3 cancel each other out. So, -24 = t.Write Final Answer: Write down the final answer. The solution for t is t = -24.

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Math Problems

Algebra 2

Simplify variable expressions using properties

Full solution

Q. Solve for

t

and simplify your answer.

\newline

16=-\frac{2}{3} t

\newline

Answer:

Write Equation: Write down the equation. $\newline$ The given equation is $16 = -\left(\frac{2}{3}\right)t$ .
Isolate Variable: Isolate the variable $t$ . To isolate $t$ , we need to get rid of the fraction and the negative sign. We can do this by multiplying both sides of the equation by $-\frac{3}{2}$ . $\left(-\frac{3}{2}\right) \times 16 = \left(-\frac{3}{2}\right) \times \left(-\frac{2}{3}t\right)$
Perform Multiplication: Perform the multiplication on both sides. $\newline$ On the left side, $(-\frac{3}{2}) \times 16 = -24$ . $\newline$ On the right side, $(-\frac{3}{2}) \times (-(\frac{2}{3})t)$ simplifies to $t$ because the $-\frac{3}{2}$ and $-\frac{2}{3}$ cancel each other out. $\newline$ So, $-24 = t$ .
Write Final Answer: Write down the final answer. $\newline$ The solution for $t$ is $t = -24$ .