Question

the solution of the equation x+5/5x+8=11/38​

Answer 1

Step-by-step explanation:

Your question:

$\frac{x + 5}{5x + 8} = \frac{11}{38}$

Your answer:

$\frac{x + 5}{5x + 8} = \frac{11}{38}$

$38(x + 5) = 11(5x + 8)$

[ cross multiply the fraction in the LHS with the numbers in the RHS ]

$38x + 190 = 55x + 88$

[ now multiply them and sort out the like terms as shown in the next step ]

$38x - 55x = 88 - 190$

[ subtract the like terms as it is shown in the previous step ]

$- 17 x = - 102$

[ now cancel the negative signs as you can see that both the sides have the same sign and make them positive ]

$x = \frac{102}{17}$

[ now transport 17 from LHS to RHS and divide it by 102 ]

$x = 6$

[ the value of x is 6 ]

$\colorbox{magenta}{your \: final \: answer} \: :$

$\mathfrak\colorbox{aqua}{6}$

Answer 2

Answer:

6

Step-by-step explanation:

APPLY FRACTION CROSS MULTIPLY: IF a/b = c/d THEN a x d = b x c

(x + 5) · 38 = (5x + 8) · 11

= 38x + 190 = 55x + 88

SUBTRACT 190 FROM BOTH SIDES

38x + 190 - 190 = 55x + 88 - 190

SIMPLIFY:

38x = 55x - 102

SUBTRACT 55x FROM BOTH SIDES:

38x - 55x = 55x - 102 - 55x

SIMPLIFY:

-17x = -102

DIVIDE BOTH SIDES BY -17

$\frac{-17}{-17}$ = $\frac{-102}{-17}$

SIMPLIFY:

= 6

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