Verified answer

1) [tex]1\frac{5}{14}[/tex]·х-[tex]\frac{5}{28}[/tex]х=[tex]23\frac{4}{7}[/tex]

[tex]\frac{19}{14}[/tex]х-[tex]\frac{5}{28}[/tex]х=[tex]\frac{165}{7}[/tex]

38х-5х=660

33х=660

х=20
2) 2(3х-2)+5х=2х+5

6х-4+5х=2х+5

11х-4=2х+5

11х-4-2х=5

11х-2х=5+4

9х=5+4

9х=9

х=1

3) [tex]\left \{ {{3-8x\geq 5} \atop {x-1\leq 0}} \right.[/tex] ⇒ [tex]\left \{ {{-8x\geq 5-3} \atop {x\leq 1}} \right.[/tex]⇒[tex]\left \{ {{-8x\geq 2} \atop {x\leq 1}} \right.[/tex]⇒[tex]\left \{ {{x\leq -\frac{1}{4} } \atop {x\leq 1}} \right.[/tex]

Пересечение : x∈(-∞;[tex]-\frac{1}{4}[/tex]]