Rezolvați prin orice metoda acest sistem; va rog , am nevoie urgent
Răspunsuri la întrebare
Răspuns:
aducem fractiile la acelasi numitor comun
¹²⁾(x+3)/5+¹⁵⁾(y+5)/4=⁶⁰⁾3=>12x+36+15y+75=180=>12x+15y=180-111=>12x+15y=69
³⁰⁾(x-4)/2-²⁰⁾(y-6)/3=⁶⁰⁾2=>30x-120-20y+120=120=>30x-20y=120
formam noul sistem
12x+15y=69 I·4
30x-20y=120 I·3
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48x+60y=276
90x-60y=360
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48x+90x=276+360=>x=(636/138)⁽⁶=>x=106/23
12·106/23+²³⁾15y=²³⁾69
1272+345y=1587=>345y=1587-1272=>y=(315/345)⁽¹⁵=>y=21/23
Răspuns:
{(x+3)/5 + (y+5)/4 = 3 / x 20
{(x-4)/2 - (y - 6)/3 = 2 / x 6
{4x + 12 + 5y + 25 = 60
{3x - 12 - 2y + 12 = 12
{4x + 5y = 60 - 25 - 12
{3x - 2y = 12
{4x + 5y = 23 / x2
{3x - 2y = 12 / x 5
{8x + 10y = 46
{15x - 10y = 60
23x = 106
x = 106 /23
8 × 106/23 + 10y = 46
848/23 + 10y = 46
10y = 46 - 848/23
10y = (1058 - 848)/23
10y = 210 / 23
y = 210/23 : 10
y = 21/23