Solve for t. (t+9)/(t+4)=5 t=

Eliminate the fraction: First, we need to eliminate the fraction by multiplying both sides of the equation by (t+4). (t+9)/(t+4) = 5 (t+9) = 5 * (t+4)Distribute the 5: Now, distribute the 5 on the right side of the equation. (t+9) = 5t + 20Rearrange the equation: Next, we want to get all the terms with t on one side and the constant terms on the other side. Subtract t from both sides. t - t + 9 = 5t - t + 20 9 = 4t + 20Isolate the term with t: Subtract 20 from both sides to isolate the term with t. 9 - 20 = 4t + 20 - 20 -11 = 4tSolve for t: Finally, divide both sides by 4 to solve for t. -11 / 4 = 4t / 4 t = -11 / 4

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Solve for $t$ . $\newline$ $\frac{t+9}{t+4}=5$ $\newline$ $t=$

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

t

\newline

\frac{t+9}{t+4}=5

\newline

t=

Eliminate the fraction: First, we need to eliminate the fraction by multiplying both sides of the equation by $(t+4)$ . $\newline$ $(t+9)/(t+4) = 5$ $\newline$ $(t+9) = 5 \times (t+4)$
Distribute the $5$ : Now, distribute the $5$ on the right side of the equation. $(t+9) = 5t + 20$
Rearrange the equation: Next, we want to get all the terms with $t$ on one side and the constant terms on the other side. Subtract $t$ from both sides. $t - t + 9 = 5t - t + 20$ $9 = 4t + 20$
Isolate the term with $t$ : Subtract $20$ from both sides to isolate the term with $t$ . $9 - 20 = 4t + 20 - 20$ $-11 = 4t$
Solve for t: Finally, divide both sides by $4$ to solve for $t$ . $\frac{-11}{4} = \frac{4t}{4}$ $t = \frac{-11}{4}$