Question

Решите уравнения,: 1.3х+6-8х=2х-7 2.4х-2(х-6)=3-5х 3.х-6(х-7)=5 4.3х-6(2х+3)< 3-2х 5.-7х+2(3-4х)> х+1 6.3х-4+5х> 9х+8

Answer 1

1)х=13/7
2)х=-9/7
3)х=37/5
4)х<-3
5)х>5/16
6)х>-12

Answer 2

$3x+6-8x=2x-7$
$3x-8x-2x=-7-6$
$-7x=-13$
$x= \frac{13}{7}$

$4x-2(x-6)=3-5x$
$4x-2x+12=3-5x$
$4x-2x+5x=3-12$
$7x=9$
$x= \frac{9}{7}$

$x-6(x-7)=5$
$x-6x+42=5$
$-5x=-37$
$x= \frac{37}{5}$

$3x-6(2x+3)\ \textless \ 3-2x$
$3x-12x-18\ \textless \ 3-2x$
$-9x-18\ \textless \ 3-2x$
$-9x+2x\ \textless 3+18$
$-7x\ \textless \ 21$       $|:(-7)$
$x\ \textless \ -3$
ответ: $x\ \textless \ -3$

$3x-4+5x\ \textgreater \ 9x+8$
$8x-4\ \textgreater \ 9x+8$
$8x-9x\ \textgreater \ 8+4$
$-x\ \textgreater \ 12$     $|:(-1)$
$x\ \textgreater \ -12$
ответ:    $x\ \textgreater \ -12$

$-7x+2(3-4x)\ \textgreater \ x+1$
$-7x+6-8x\ \textgreater \ x+1$
$-15x+6\ \textgreater \ x+1$
$-15x-x\ \textgreater \ 1-6$
$-16x\ \textgreater \ -5$    $|:(-16)$
$x\ \textgreater \ 0.3125$