Question

ДАЮ 50 БАЛЛОВ!
ПОМОГИТЕ, ПРОШУ!!
(Решите способом Крамера)​

Answer 1

$\Delta =\left|\begin{array}{rrr}3&4&2\\5&-6&-4\\-4&5&3\end{array}\right|=3\, (-18+20)-4\, (15-16)+2\, (25-24)=12\ne 0\\\\\\\Delta _{1}=\left|\begin{array}{rrr}5&4&2\\-3&-6&-4\\1&5&3\end{array}\right|=5(-18+20)-4(-9+4)+2(-15+6)=12$

$\Delta _2=\left|\begin{array}{rrr}3&5&2\\5&-3&-4\\-4&1&3\end{array}\right|=3(-9+4)-5(15-16)+2(5-12)=-24\\\\\\\Delta _3=\left|\begin{array}{rrr}3&4&5\\5&-6&-3\\-4&5&1\end{array}\right|=3(-6+15)-4(5-12)+5(25-24)=60\\\\\\x=\frac{\Delta _1}{\Delta }=\frac{12}{12}=1\; \; ,\; \; y=\frac{\Delta _2}{\Delta }=\frac{-24}{12}=-2\; \; ,\; \; z=\frac{\Delta _3}{\Delta }=\frac{60}{12}=5\\\\Otvet:\; \; x=1\; ,\; y=-2\; ,\; z=5\; .$