Matematică, întrebare adresată de efrosn95, 8 ani în urmă

a) (2X+11):3 - 4 = 3; b) 3×((X+2)-5=13
c)3×(2X-1)-32=73 d) 3×(2X-1)+32=77
f)2×(X+5)-X+3×(X-1)=35

Răspunsuri la întrebare

Răspuns de dobrebobo
13

Răspuns:

a) (2x+11):3 -4 = 3

2x/3 + 11/3 -4 = 3

2x/3 +11/3 - 12/3 = 9/3 | · 3

2x + 11 - 12 = 9

2x + 11 = 21

2x = 10

x = 5

b) 3·(x+2)-5 = 13

3x + 6 - 5 = 13

3x + 1 = 13

x = 4

c) 3×(2X-1)-32=73

6x - 3 - 32 = 73

6x - 35 = 73

6x = 73 + 35

6x = 108

x = 18

d) 3×(2X-1)+32=77

6x -3 + 32 = 77

6x + 29 = 77

6x = 48

x = 8

f)2×(X+5)-X+3×(X-1)=35

2x +10 -x + 3x -3 = 35

x + 10 + 3x - 3 = 35

4x + 7 = 35

4x = 28

x = 7

Sper ca te-am ajutat!

Explicație pas cu pas:

Răspuns de pav38
16

Răspuns:

\bf a) ~(2x+11):3 -4 = 3~~\bigg|\cdot 3

\bf (2x+11) -12 = 9

\bf (2x+11) = 9+12

\bf 2x+11 = 21

\bf 2x = 21 -11

\bf 2x = 10~~\bigg|:2

\green{\boxed{\bf ~x = 5~}}

______________________

\bf b)~~ 3\cdot(x+2)-5 = 13

\bf  3\cdot(x+2) = 13+5

\bf  3\cdot(x+2) = 18~~\bigg|:3

\bf  x+2 = 6

\bf  x = 6-2

\blue{\boxed{\bf  x=4}}

______________________

\bf c)~~ 3\cdot (2x-1)-32=73

\bf 3\cdot (2x-1)=73+32

\bf 3\cdot (2x-1)=105~~~\bigg|:3

\bf 2x-1=35

\bf 2x=35+1

\bf 2x=36~~~\bigg|:2

\purple{\boxed{\bf~ x=18~}}

______________________

\bf d)~~ 3\cdot (2x-1)+32=77

\bf 3\cdot (2x-1)=77-32

\bf 3\cdot (2x-1)=45~~~\bigg|:3

\bf 2x-1=15

\bf 2x=15+1

\bf 2x=16~~~\bigg|:2

\pink{\boxed{\bf~ x=8~}}

______________________

\bf f)~~2\cdot (x+5)-x+3\cdot(x-1)=35

\bf 2x+10-x+3x-3=35

\bf 4x+7=35

\bf 4x=35-7

\bf 4x=28~~~\bigg|:4

\red{\boxed{\bf~x=7~}}

Alte întrebări interesante