Question

rezolvati urmatoarele ecuatii: a) 2x-1=7 b) 2(x-3)-3=x-2 c) 4(x+3)-2(x-5)=-3x+11 d) x+2 supra 3-2= x-1 supra 2​

Answer 1

Răspuns:

a) x=2

b) x=4

c) x=-11/5

d) x=-5

Explicație pas cu pas:

a)

2x-1 = 7

2x = 8

x=8:4

x=2

b)

2(x-3)=x-2

2x-6 = x-2

2x-x = 6-2

x=4

c)

4(x+3)-2(x-5) = -3x+11

4x+12 -2x+10 = -3x+11

4x-2x+3x = -12 -10 +11

5x = -11

$x=-\frac{11}{5}$

d) $\frac{x+2}{3} -2 = \frac{x-1}{2}$

$\frac{x+2}{3} - \frac{x-1}{2} = 2$

$\frac{2x+4-3x+3}{6} = 2$

-x+7 = 12

-x = 12-7

-x = 5

x = -5