Question

3x-2/5x+6=2/3 is the duplicate ratio of 2/3 find x

Answer 1

hope this helps you.. :)

Answer 2

Answer:

The value of $x$ is $6.$

Step-by-step explanation:

Given equation is $\frac{3x-2}{5x+6}=\frac {2}{3}$

Find the value of $x.$

Solution:

The duplicate ratio is $\frac{2}{3}.$

So, $( \frac 23)^2=4:9$

Now,

$\frac{3x-2}{5x+6}=\frac 49$

$27x-18=20x+24\\27x-20x=24+18\\7x=42\\x=6$

Hence, the  value of $x$ is $6.$

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