Question

Stiind ca 2x+2×y+45=59determinati 4×y+4×x+32; stiind ca x+3×y+18=54 determinati 6×y+89+2×x; stiind ca (x+48)+(y+52) =200determinati 200+y+x; stiind ca x+y+75=124 determinati 101+y+x; stiind ca 5×x+7×y+30=230determinati 1000+2×y+3×x+2×x+5×y

Answer 1

2 x + 2 y + 45 = 59

2 x + 2 y = 59 - 45

2 x + 2 y = 14

4 x + 4 y + 32 = 2 × ( 2 x + 2 y ) + 32 = 2 × 14 + 32 = 28 + 32 = 60

___________________________________________________

x + 3 y + 18 = 54

x + 3y = 54 - 18

x + 3 y = 36

6 y + 89 + 2 x = 2 x + 6 y + 89 = 161

= 2 × ( x + 3 y ) + 89 =

= 2 × 36 + 89 =

= 72 + 89 =

= 161

_________________________________

( x + 48 ) + ( y + 52 ) = 200

x + y + 100 = 200

x + y = 200 - 100

x + y = 100

101 + y + x = 101 + 100 = 201

__________________________

5 x + 7 y + 30 = 230

5 x + 7 y = 230 - 30

5 x + 7 y = 200

1 000 + 2 y + 3 x + 2 x + 5 y = 1 200

= 1 000 + 5 x + 7 y =

= 1 000 + 200 =

= 1 200