Respuesta :

xKelvin

Answer:

[tex]x=6/13[/tex]

Step-by-step explanation:

So we have:

[tex]\frac{2}{3}x+\frac{3}{7}=1-\frac{4}{7}x[/tex]

Remove all the fractions to make things simpler. To do so, we can multiply by the LCM of the denominators.

The denominators are 3 and 7.

The LCM of 3 and 7 is 21. Thus, multiply everything by 21:

[tex]21(\frac{2}{3}x+\frac{3}{7})=21(1-\frac{4}{7}x)[/tex]

Distribute:

[tex]\frac{42}{3}x+\frac{63}{7}=21-\frac{84}{7}x[/tex]

Simplify the fractions:

[tex]14x+9=21-12x[/tex]

Add 12x to both sides:

[tex]26x+9=21[/tex]

Subtract 9 from both sides:

[tex]26x=12[/tex]

Divide both sides by 26:

[tex]x=12/26[/tex]

Reduce:

[tex]x=6/13[/tex]

And that's our answer :)

moejojojo

Answer: x = 6/13

find the common denominator (21);

14/21x + 9/21 = 21/21 - 12/21x

move your variable to one side and your constants to the other:

26/21x = 12/21

multiply all by 21/26 to get a lone x:

x = 12/26

simplify:

x = 6/13

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