Question

ME AJUUUDEEEEMMM PORRR FAVOOORRR ​

Answer 1

a)

$2 . ( 3 - x ) = 4 . ( x - 1 )\\6 - 2x = 4x -4\\10 = 6x\\\frac{10}{6} = x\\1,67 = x$

b)

$5 . ( 2x - 1 ) = 2 . ( x + 4)\\10x -5 = 2x + 8 \\8x = 13\\x = \frac{13}{8}\\x = 1,625$

c)

$\frac{3x}{5} - \frac{1}{2} = x - \frac{2}{5} \\\frac{6x - 5}{10} = \frac{5x - 2}{5}\\(6x - 5 ) . 5 = 10 . ( 5x - 2 )\\30x - 25 = 50x - 20\\-25 + 20 = 50x - 30x\\-5 = 20x\\\frac{-5}{20} = x\\- 0,25 = x$

d)

$\frac{3y}{5} - 1 = \frac{3}{4} - 2y\\\frac{3y - 5}{5} = \frac{3 - 8y}{4}\\( 3y - 5 ) . 4 = 5 . ( 3 - 8y )\\12y - 20 = 15 - 40y\\12y + 45y = 15 + 20\\57y = 35\\y = \frac{35}{57} \\y = 0,614$

e)

$2x + 7x - 10 = 4x + 3 - 2x\\9x - 4x + 2 x = 3 + 10\\7x = 13\\x = \frac{13}{7}\\x = 1,857$

f)

$2 - x \leq x + 8 \\- 2x \leq 8 - 2 \\-x \leq \frac{6}{2}\\x\leq - 3$

o x é menor ou igual a -3

g)

$4 ( x + 5 ) \leq 3x + 10\\4x + 20 \leq 3x + 10\\4x - 3x \leq 10 - 20\\x \leq -10$

o x é menor ou igual a -10

h)

$\frac{x + 2}{4} \leq \frac{x - 3}{6}\\( x + 2 ) . 6 \leq ( x - 3 ) . 4\\6x + 12 \leq 4x - 12\\6x - 4x \leq - 12 -12\\2x \leq -24\\x \leq \frac{-24}{2}\\x \leq -12$

o x é menor ou igual a -12