Solve for t. (t + 2)/(3) = (t + 7)/(6) There may be 1 or 2 solutions. t = _____ or t = _____

Cross multiply to eliminate fractions: Cross multiply to eliminate the fractions. (t + 2)/3 = (t + 7)/6 6 * (t + 2) = 3 * (t + 7)Distribute 6 and 3 on both sides: Distribute the 6 and 3 on both sides of the equation. 6t + 12 = 3t + 21Isolate variable t: Isolate the variable t on one side of the equation. 6t - 3t = 21 - 12 3t = 9Solve for t: Solve for t by dividing both sides of the equation by 3. 3t / 3 = 9 / 3 t = 3

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Solve for $t$ . $\newline$ $\frac{t + 2}{3} = \frac{t + 7}{6}$ $\newline$ There may be $1$ or $2$ solutions. $\newline$ $t =$ _ or $t =$ _

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Math Problems

Algebra 2

Solve rational equations

Full solution

Q. Solve for

t

\newline

\frac{t + 2}{3} = \frac{t + 7}{6}

\newline

There may be

1

2

solutions.

\newline

t =

_____ or

t =

_____

Cross multiply to eliminate fractions: Cross multiply to eliminate the fractions. $\newline$ $(t + 2)/3 = (t + 7)/6$ $\newline$ $6 \cdot (t + 2) = 3 \cdot (t + 7)$
Distribute $6$ and $3$ on both sides: Distribute the $6$ and $3$ on both sides of the equation. $6t + 12 = 3t + 21$
Isolate variable t: Isolate the variable t on one side of the equation. $\newline$ $6t - 3t = 21 - 12$ $\newline$ $3t = 9$
Solve for t: Solve for t by dividing both sides of the equation by $3$ . $\newline$ $\frac{3t}{3} = \frac{9}{3}$ $\newline$ $t = 3$