Question

Решите по формуле Крамера 5х-3у=313х+2у=13

Answer 1

$\left \{ {{5x-3y=31} \atop {3x+2y=13}} \right.$

Δ =  $\left[\begin{array}{ccc}5&-3\\3&2\end{array}\right] = 5 * 2-3*(-3)=10+9=19$

Δ₁ =  $\left[\begin{array}{ccc}31&-3\\13&2\end{array}\right] = 31 * 2-13*(-3)=62+39=101$

Δ₂ = $\left[\begin{array}{ccc}5&31\\3&13\end{array}\right] = 5 * 13-3*31=65-93=-28$

x = Δ₁/Δ = 101/19

y = Δ₂/Δ = -28/19