Question

solve 2m-(6-4m) /7m-(4+3m)=2/3​

Answer 1

Step-by-step explanation:

$\mathfrak \colorbox{red}{your \: question} :$

$\frac{2m - (6 - 4m)}{7m - (4 + 3m)} = \frac{2}{3}$

$\huge\mathfrak\colorbox{blue}{your \: answer} :$

$= > \frac{2m - 6 + 4m}{7m - 4 - 3m} = \frac{2}{3}$

[ add 4m and 2m and subtract 7m and 3m ]

$= > \frac{6m - 6}{4m - 4} = \frac{2}{3}$

[ now cross multiply it

2 will divide the 6m-6 and 3 will divide the 4m-4 as whole ]

$= > 2(4m - 4) = 3(6m - 6)$

[ now multiply the equation ]

$= > 8m - 8 = 18m - 18$

[ now transport -8 to RHS and transport 18m to LHS ]

{ Note: The signs will change! }

$= > 8m - 18m = - 18 + 8$

[ do the mathematical functions ]

$=> -10m = -10$

[ now divide -10 to both sides ]

$=> m = 1$