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4 years ago

Solve the equation for x. 2(5x + 3) = 26

Mathematics

1 answer:

Aleksandr [31]4 years ago

5 0

Answer: x=2

Step-by-step explanation:

2(5x+3)=26

Distribute the 2

10x+6=26

Subtract 6 from both sides

10x=20

Divide both sides by 10

x=2

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HACTEHA [7]

$(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } = \frac{16}{9}$

4ˣ⁻¹ = 49 / 4

<h3>How to simplify an expression?</h3>

The expressions can be simplified as follows;

$(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} }$

Hence,

$(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } = (\frac{4}{3} )^{2(\frac{2}{3} )}.(\frac{4}{3} ) ^{\frac{5}{3} }$

Therefore,

$(\frac{4}{3} )^{2(\frac{2}{3} )}.(\frac{4}{3} ) ^{\frac{5}{3} } = (\frac{4}{3} )^{\frac{4}{3} } .(\frac{4}{3} )^{\frac{5}{3} }$

Finally,

$(\frac{4}{3} )^{\frac{4}{3} } .(\frac{4}{3} )^{\frac{5}{3} } = (\frac{4}{3} )^{3}$

$(\frac{4}{3} )^{3} = \frac{16}{9}$

2ˣ = 7

4ˣ⁻¹ = 2²⁽ˣ⁻¹⁾ = 2²ˣ ⁻ ² = 2²ˣ / 2² = (2ˣ)² / 2²

Therefore,

(2ˣ)² / 2² = 7² / 2² = 49 / 4

Hence,

4ˣ⁻¹ = 49 / 4

Finally, the $(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} }$ is equal to $\frac{16}{9}$ and for the second part 4ˣ⁻¹ = 49 / 4

learn more on simplification here: brainly.com/question/17513857

#SPJ1

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Help plz I really need it plz

Mashcka [7]

You could just use your calculator thats on your phone of tab

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