Chapter 3: Q20. (page 133)

Solve the equation. Check your solution.
$8 v = 2 (4 v + 2)$

Short Answer

Expert verified

The equation $8 v = 2 (4 v + 2)$ 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,

$\begin{matrix} 8 v = 2 (4 v + 2) \\ \frac{8 v}{2} = \frac{2 (4 v + 2)}{2} (divideeachsideby2) \\ 4 v = 4 v + 2 (simplify) \end{matrix}$

– Combine the like terms

Combine the like terms.

$\begin{matrix} 4 v - 4 v = 4 v - 4 v + 2 (subtract4vfrombothsides) \\ 0 = 2 (simplify) \end{matrix}$

– Conclusion

Since 0 is not equal to 2, the equal $0 = 2$ is not true. Hence, there is no solution to the equation $8 v = 2 (4 v + 2)$ .

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Solve the equation. Check your solution.
$8 v = 2 (4 v + 2)$

Short Answer

Step by step solution

– Use distributive property

– Combine the like terms

– Conclusion

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Short Answer

Step by step solution

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Solve the equation. Check your solution.
$8 v = 2 (4 v + 2)$