Răspuns :
1)
2013 - x = x - 1979
2x = 2013 + 1979
2x = 3992
x = 3992 / 2 = 1996
x = 1996
2)
27 + x = 3(1 + x)
27 + x = 3 + 3x
2x = 27 - 3
2x = 24
x = 12 ani
3)
x = numarul de fete
y = numarul de baieti
7x + 5y = 302
x + y = 54
-------
y = 54 - x substitutie
-------
7x + 5(54-x) = 302
7x + 270 - 5x = 302
2x = 32
x = 32 / 2 = 16 fete.
y = 54 - x = 54 - 16 = 38 Baieti
2013 - x = x - 1979
2x = 2013 + 1979
2x = 3992
x = 3992 / 2 = 1996
x = 1996
2)
27 + x = 3(1 + x)
27 + x = 3 + 3x
2x = 27 - 3
2x = 24
x = 12 ani
3)
x = numarul de fete
y = numarul de baieti
7x + 5y = 302
x + y = 54
-------
y = 54 - x substitutie
-------
7x + 5(54-x) = 302
7x + 270 - 5x = 302
2x = 32
x = 32 / 2 = 16 fete.
y = 54 - x = 54 - 16 = 38 Baieti
1)a-2013=1979-a
a+a=1979+2013
2a=3992
a=3992:2
a=1996
2)x-anii peste care va fi indeplinita cerinta problemei
27+x=3(1+x)
27+x=3+3x
x-3x=3-27
-2x=-24
2x=24 |:2
x=12
3) x-nr de baieti
y-nr de fete
x+y=54 |-5
7x+5y=302 inmultim prima ecuatie cu -5
-5x-5y= -270
7x+5y=302 adunam cele 2 ecuatii
2x / =32 |:2
x=16
y=54-16
y=38
a+a=1979+2013
2a=3992
a=3992:2
a=1996
2)x-anii peste care va fi indeplinita cerinta problemei
27+x=3(1+x)
27+x=3+3x
x-3x=3-27
-2x=-24
2x=24 |:2
x=12
3) x-nr de baieti
y-nr de fete
x+y=54 |-5
7x+5y=302 inmultim prima ecuatie cu -5
-5x-5y= -270
7x+5y=302 adunam cele 2 ecuatii
2x / =32 |:2
x=16
y=54-16
y=38