Question

3x-2-4x-6=7×-6. con su prueba ​

Answer 1

Respuesta:

x= -2/8

Explicación paso a paso:

3x-2-4x-6=7×-6

3x-4x-7x= -6+6+2

-8x = 2

x= -2/8

Comprobando:

3x-2-4x-6=7×-6

3(-2/8) - 2 - 4(-2/8) -6 = 7(-2/8) -6

-6/8 - 2 +8/8 -6= -14/8 - 6

-6/8 - 2 + 1 - 6 = -14-48/8

-6/8 -7 = -62/8

-6-56/8 = -62/8

-62/8 = -62/8

-31/4 = -31/4

Answer 2

3x-2-4x-6=7×-6. con su prueba ​

Resolvemos la ecuación.

$3x-2-4x-6=7x-6 \\\\ 3x-2+\blue{2}-4x-6=7x-6+\blue{2} \\\\ 3x-4x-6=7x-4 \\\\ -x-6=7x-4 \\\\ -x-\red{7x}-6=7x-\red{7x}-4 \\\\ -8x-6=-4 \\\\ -8x-6+\blue{6}=-4+\blue{6} \\\\ -8x=2 \\\\ \dfrac{-8x}{\green{-8}}=\dfrac{2}{\green{-8}} \\\\ \boxed{\pink{x=-\dfrac{1}{4}}}$

Comprobamos...

$3x-2-4x-6=7x-6 \\\\ 3(-\dfrac{1}{4})-2-4(-\dfrac{1}{4})-6=7(-\dfrac{1}{4})-6 \\\\ -\dfrac{3}{4}-2+\dfrac{4}{4}-6=-\dfrac{7}{4}-6 \\\\ - \dfrac{3}{4}-2+1-6=-\dfrac{7}{4}-6\cdot \orange{4} \\\\ -\dfrac{3}{4}-7=-\dfrac{7}{4}-\dfrac{24}{4} \\\\ -\dfrac{3}{4}-7 \cdot \orange{4}=\dfrac{-7-24}{4} \\\\ -\dfrac{3}{4}-\dfrac{28}{4}=-\dfrac{31}{4} \\\\ \dfrac{-3-28}{4}= -\dfrac{31}{4} \\\\ \boxed{\pink{-\dfrac{31}{4}=-\dfrac{31}{4}}}$

Espero que te sirva y saludos.