Respuesta :
The answer to given equation is x = -0.9372
Solution:
Given equation is:
[tex]\frac{5}{6}x + 4 = \frac{422}{105} - \frac{4}{5}[/tex]
We have to find the answer to this equation
Let us solve the equation step by step
From given,
[tex]\frac{5}{6}x + 4 = \frac{422}{105} - \frac{4}{5}[/tex]
Solve the right side of equation
Take L.C.M for 105 and 5
Prime factor of 5 = 5
Prime factor of 105 = 3 x 5 x 7
Multiply these factors together to find the LCM.
LCM = 3 x 5 x 7 = 105
Thus,
[tex]\frac{5}{6}x + 4 = \frac{422 \times 1}{105 \times 1} - \frac{4 \times 21}{5 \times 21}\\\\\frac{5}{6}x + 4 = \frac{422-84}{105}\\\\\frac{5}{6}x + 4 = \frac{338}{105}\\\\\frac{5}{6}x + 4 =3.219\\\\\frac{5}{6}x = 3.219 - 4\\\\\frac{5}{6}x = -0.781\\\\5x = -4.686\\\\x = - 0.9372[/tex]
Thus the answer to given equation is x = -0.9372
