Question

2x/3 + 1/3 + 3x/4 + 1/4 = 2x​

Answer 1

$\frac{2x}{3} + \frac{1}{3} + \frac{3x}{4} + \frac{1}{4} = 2 x$

$\frac{2}{3} x + \frac{1}{3} + \frac{3}{4} x + \frac{1}{4} = 2x$

$\frac{2}{3} x + \frac{3}{4} x - 2x = - \frac{1}{4} - \frac{1}{3}$

$- \frac{7}{12} x = - \frac{7}{12}$

$x = - \frac{7}{12} \div ( - \frac{7}{12} )$

$x = 1$

Answer 2

Respuesta:

(2x/3)+(1/3)+(3x/4)+1/4 = 2x ; m.c.m( 3 , 4 ) = 12

12(2x/3)+12(3x/4)+12(1/4) = 12(2x)

2x(12/3)+3x(12/4)+(12/4) = 24x

4(2x)+3(3x)+3 = 24x

8x+9x+3 = 24x

(8+9)x+3 = 24x

17x+3 = 24x

17x+3-17x = 24x-17x

3 = 7x

3/7 = 7x/7

3/7 = x

x = 3/7

Verificación :

(2(3/7)/3)+(1/3)+(3(3/7)/4)+(1/4) = 2(3/7)

(6/7/3)+(1/3)+(9/7/4)+(1/4) = 6/7

(6/(7×3))+(1/3)+(9/(7×4))+(1/4) = 6/7

(6/21)+(1/3)+(9/28)+(1/4) = 6/7

((6÷3)/(21÷3))+(9/28)+(1/4) = 6/7

(2/7)+(9/28)+(1/4) = 6/7 ; 2/7 = 8/28

(8/28)+(9/28)+(1/4) = 6/7

((8+9)/28)+(1/4) = 6/7

(17/28)+(1/4) = 6/7 ; 1/4 = 7/28

(17/28)+(7/28) = 6/7

((17+7)/28) = 6/7

(24/28) = 6/7

((24÷4)/(28÷4)) = 6/7

6/7 = 6/7

R// " X " vale 3/7