Math, asked by priyamacahya4861, 11 months ago

3 ( 2x -5)/4 - 5 ( 7 - 5x )/6 = 7x/3

Answers

Answered by Roshni55

Answer:

Step-by-step explanation: hope it helped u in finding ur answer!!! I think the answer is5/2

Attachments:

SreenikethanI: Hello! I think your answer is incorrect... x must be 2.875

SreenikethanI: I tried putting 2.5 (your answer) in the equation, but it is not coming as valid... please recheck your steps

SreenikethanI: See my answer below. I have posted my steps

SreenikethanI: I found the mistake! In the second line, you multiplied the 3 with 2x, but wrote it as 8x!!! It must be 6x

Answered by SreenikethanI

Hello there! This is the equation we have to begin with:

$\dfrac{3\left(2x - 5\right)}{4} - \dfrac{5\left(7 - 5x\right)}{6} = \dfrac{7x}{3}$

We find the LCM of the denominators and do the following:

$\dfrac{3 \times 3\left(2x - 5\right)}{12} - \dfrac{2 \times 5\left(7 - 5x\right)}{12} = \dfrac{4 \times 7x}{12}$

$\dfrac{9\left(2x - 5\right) - 10\left(7 - 5x\right)}{12} = \dfrac{4 \times 7x}{12}$

We can cancel out all the denominators:

$9\left(2x - 5\right) - 10\left(7 - 5x\right) = 4 \times 7x$

Then, it's only a matter of evaluating it.

$18x - 45 - 70 + 50x = 28x$

$68x - 115 = 28x$

$-115 = 28x - 68x$

$-115 = -40x$

$x = \dfrac{-115}{-40}$

$x=2.875$

That is your answer.

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