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2 years ago

Solve and check:8a-4=25+6(a-8)

1 answer:

5 0

8a - 4 = 25 + 6 (a - 8)

(distribute the 6)

8a - 4 = 25 + 6a - 48

(combine like terms 25 - 48)

8a - 4 = 6a - 23

( subtract 6a from both sides)

2a - 4 = -23

(add 4 to both sides)

2a = -19

(divide both sides by 2)

a = - 9.5

////CHECK/////

8 (-9.5) - 4 = 25 + 6 ( -9.5 -8)

(plug each side into a calculator)

-80 = -80

FINAL ANSWER:

a = -9.5

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Find the unknown side of the triangle when x =<br> 12 in and y = 5 in.

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3 years ago

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3 years ago

What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?

photoshop1234 [79]

Answer:

value of n = 2

Step-by-step explanation:

$\frac{4}{5n}-\frac{1}{5}=\frac{2}{5n}$

We need to solve the above equation.

Find Least Common multiplier from 5n, 5 = 5n

Multiply both sides of the equation by 5n

$\frac{4}{5n}*5n-\frac{1}{5}*5n=\frac{2}{5n}*5n\\Solving:\\4 -n = 2\\$

Now finding the value of n.

Adding -4 on both sides

$4 -n-4 = 2-4\\-n= -2$

Multiplying both sides by -1

n = 2

The value of n is 2.

We can verify by putting value of n in the given question.

$\frac{4}{5n}-\frac{1}{5}=\frac{2}{5n}\\n=2\\\frac{4}{5*2}-\frac{1}{5}=\frac{2}{5*2}\\\frac{4}{10}-\frac{1}{5}=\frac{2}{10}\\\frac{2}{5}-\frac{1}{5}=\frac{1}{5}\\\frac{2-1}{5}=\frac{1}{5}\\\frac{1}{5}=\frac{1}{5}$

So, value of n = 2

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2 years ago