Chapter 3: Q15. (page 133)

Solve the equation. Check your solution.
$25 t = 5 (5 t + 1)$

Short Answer

Expert verified

The equation $25 t = 5 (5 t + 1)$ has no solution.

Step by step solution

– Use distributive property

The distributive property is given as $a (b + c) = a b + a c$ .

The given equation is $25 t = 25 t + 5$ .

So,

$\begin{matrix} 25 t = 5 (5 t + 1) \\ 25 t = 25 t + 5 \\ 25 t - 25 t = 25 t + 5 - 25 t (Subtract 25 t frombothsides) \end{matrix}$

– Combine the like terms

Combine the like terms to get,

$0 = 5$ .

– Conclusion

Since 0 is not equal to 5, the equal $0 = 5$ is not true. Hence, there is no solution to the equation $25 t = 5 (5 t + 1)$ .

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Solve the equation. Check your solution.
$25 t = 5 (5 t + 1)$

Short Answer

Step by step solution

– Use distributive property

– Combine the like terms

– Conclusion

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Solve the equation. Check your solution.
$25 t = 5 (5 t + 1)$