3 years ago

Solve for x: 2 over 5 plus 3 over 5 x equals quantity x plus 5 over 10.

Mathematics

1 answer:

Leno4ka [110]3 years ago

4 0

Answer:

x=-1/4

Step-by-step explanation:

2/5+3/5x=x+5/10

subtract 2/5 form both sides

3/5x=x+1/10

subtract x form both sides

-2/5x=1/10

Multiply both sides by 5

-2x=1/2

x= - 1/4

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1. What is the solution set for -4x - 10 ≤ 2 ?

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3 years ago

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3 years ago

Solve 5^3x+1 = 4^x-5 for x

tensa zangetsu [6.8K]

For the equation $5^{3x+1}=4^{x-5}$ take the $\log$ from both sides:

$\log 5^{3x+1}=\log 4^{x-5},\\ \\(3x+1)\log 5=(x-5)\log 4.$

Find x:

$3x\log 5+\log 5=x\log 4-5\log 4,\\ \\3x\log 5-x\log 4=-5\log 4-\log 5,\\ \\x(3\log 5-\log 4)=-5\log 4-\log 5,\\ \\x=\dfrac{-5\log 4-\log 5}{3\log 5-\log 4}=\dfrac{5\log 4+\log 5}{\log 4-3\log 5}.$

Answer: correct choice is D

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3 years ago

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