WWhat is the solution to the equation 1/2 X +3 equals 2/3 X plus one

2 answers:

6 0

1/2x + 3 = 2/3x + 1....multiply everything by the common denominator of 6
3x + 18 = 4x + 6
3x - 4x = 6 - 18
-x = - 12
x = 12 <====

multiplying by the common denominator will get rid of the fractions

Vsevolod [243]3 years ago

3 0

1/2x+3=2/3x+1
Your goal is to get all the x's on one side and all the numbers on the other side initially in order to solve for x.

1/2x+3=2/3x+1
subtract 1 from both sides
1/2x+2=2/3x
now you need to find the least common multiple of both denominators and multiply that number by both the numerator and demoninator

The least common multiple of both denominators is 6.
2 goes into 6 3 times, so you have to multiply the 1/2 by 3/3.
3 goes into 6 2 times, so you have to multiply the 2/3 by 2/2.

2=4/6x - 3/6x
2=1/6x
In order to divide the 1/6 fraction, you multiply both sides by its inverse of 6/1.

2(6/1)= 1/6 * 6/1x
12=x

You can check the answer to be sure it's correct.
1/2x+3=2/3x+1
2= 4/6(12) - 3/6(12)
2=8-6
2=2

Hope this helps!! :)

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Answer:

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Step-by-step explanation:

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4 0

3 years ago

what was the original principal for an 8% simple interest bank account that holds $4340 after 3 years?

strojnjashka [21]

The principal amount is $\$3500$

<u>SOLUTION: </u>

Given that, simple interest $8\%$ ; $\$4340$ after 3 years

We have to find the principal.

Now, let the principal amount be p.

Then, $\text { Simple Interest }=\frac{p \times 8 \times 3}{100}=\frac{p \times 24}{100}$

Now, we know that, Balance = Principal amount + Simple Interest

$\begin{array}{l}{\rightarrow \$ 4340=p+\frac{24 p}{100}} \\\\ {\rightarrow 4340=p\left(1+\frac{24}{100}\right)} \\\\ {\rightarrow 4340=p \times \frac{100+124}{100}} \\\\ {\rightarrow p=4340 \times \frac{100}{124}} \\\\ {\rightarrow p=35 \times 100} \\\\ {\rightarrow p=3500}\end{array}$