Question

7x/5+1=2x/3+1/2 (equation)​

Answer 1

Answer:

15/22

Step-by-step explanation:

YOUR QUESTION:-

$\frac{7x}{5 } + \frac{1}{1} = \frac{2x}{3} + \frac{1}{2}$

AT L.H.S WE WILL FIND L.C.M OF DENOMINATORS

THAT IS 5

SO AGAIN SOLVING L.H.S IT BECOMES

$\frac{7x + 1 \times 5}{1 \times 5}$

SO AFTER , SOLVING FINALLY IT BECOMES

$\frac{7x + 5}{5}$

NOW,

$\frac{7x + 5}{5} = \frac{2x}{3} + \frac{1}{2}$

NOW SOLVING R.H.S

WE WILL TAKE L.C.M OF BOTH DENOMINATORS

THE LCM IS 6 , SO AGAIN SOLVING R.H.S BY USE OF L.C.M

$\frac{2x \times 2}{3 \times 2} + \frac{1 \times 3}{2 \times 3}$

=>

$\frac{4x + 3}{3 \times 2}$

MEANS IT BECOMES:-

$\frac{4x + 3}{6}$

NOW WE WILL SOLVE BOTH L.H.S AND R.H.S AT ONCE

SO, NOW EQUATION BECOMES:-

$\frac{7x + 5}{5} = \frac{4x + 3}{6}$

NOW SHIFTING 6 TO L.H.S AND 5 TO R.H.S

WE GET:-

$6( \frac{7x + 5}{5} ) = 5( \frac{4x + 3}{6})$

SO AFTER MULTIPLYING WE GET:-

$42x + 30 = 20x + 15$

NOW SHIFTING 20X TO L.H.S AND 30 TO R.H.S

WE GET:-

42X-20X=30-15( HERE SIGNS CHANGED)

22X=15

NOW SHIFTING 22 TO R.H.S

WE GET:-

$x = \frac{15}{22}$

THATS YOUR ANSWER

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