Question

ajutatima va rog urgent la sistemul
3x+2y=6
2x+3y=5

Answer 1

$\displaystyle \left \{{{3x+2y=6| \cdot (-2)}\atop{2x+3y=5| \cdot 3}} \right. \Rightarrow \left \{ {{-6x-4y=-12} \atop {6x+9y=15}} \right. \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~--------\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~/~~~~5y~=~3 \Rightarrow \boxed{y= \frac{3}{5}} \\ \\3x+2y=6 \Rightarrow 3x+2 \cdot \frac{3}{5} =6 \Rightarrow 3x+\frac{6}{5} =6\Rightarrow 5 \cdot3x+6=5\cdot 6 \Rightarrow \\ \\ \Rightarrow 15x+6=30 \Rightarrow15x=30-6 \Rightarrow 15x=24 \Rightarrow x=\frac{24}{15}\Rightarrow \boxed{x=\frac{8}{5}}$

Answer 2

3x+2y=6|•(-2)
2x+3y=5|•3

-6x-4y=-12
6x+9y=15
-----------------(+)
/+5y=3
y=3/5=0,6
2x+3•3/5=5
2x+9/5=5
10x+9=25
10x=25-9
10x=16
x=16/10
x=1,6
Deci x=1,6 și y=0,6