## Related questions with answers

Question

Solve each equation. If the equation is an identity or if it has no solution, write identity or no solution. $3(2 t-6)=2(3 t-9)$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2Given the equation $3(2t-6)=2(3t-9)$, we can identify if it is an identity or if it has no solution by:

$\begin{aligned} 3(2t-6)&=2(3t-9)&&\text{Given}\\ 6t-18&=6t-18&&\text{Distributive property on both sides}\\ 6t-18-6t&=6t-18-6t&&\text{Subtract 6t on both sides}\\ -18&=-18&&\text{Simplify}\\ \end{aligned}$

Since both sides are equal, then the equation is true for all $t$ or an identity.

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