Question

Determine a solução do sistema linear { 3x + 4y = 10 x + y = 2 pelo método de cramer​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\begin{cases}\mathsf{3x + 4y = 10}\\\mathsf{x + y = 2}\end{cases}$

$\begin{bmatrix}\cancel3&\cancel4\\\cancel1&\cancel1\end{bmatrix}$

$\mathsf{D = 3(1) - 4(1) = 3 - 4 = -1}$

$\begin{bmatrix}\cancel10&\cancel4\\\cancel2&\cancel1\end{bmatrix}$

$\mathsf{D_X = 10(1) - 4(2) = 10 - 8 = 2}$

$\mathsf{x = \dfrac{D_X}{D}}$

$\mathsf{x = \dfrac{2}{-1}}$

$\boxed{\boxed{\mathsf{x = -2}}}$

$\begin{bmatrix}\cancel3&\cancel10\\\cancel1&\cancel2\end{bmatrix}$

$\mathsf{D_Y = 3(2) - 10(1) = 6 - 10 = -4}$

$\mathsf{y = \dfrac{D_Y}{D}}$

$\mathsf{y = \dfrac{-4}{-1}}$

$\boxed{\boxed{\mathsf{y = 4}}}$