Question

URGENTE resolva usando o metodo aditivo


4x+ 2y = 8

5x + 3y = 9

Answer 1

Resposta:

$\begin{bmatrix}4x+2y=8\\ 5x+3y=9\end{bmatrix}$

$4x+5x=9x$

$2y+3y= 5y$

$8+9=17$

Assim:

$9x+5y=17$

Logo:

$x=\frac{4-y}{2}$

$\begin{bmatrix}5\cdot \frac{4-y}{2}+3y=9\end{bmatrix}$

$\begin{bmatrix}\frac{20+y}{2}=9\end{bmatrix}$

Resposta x e y:

$y=-2$

$x=3$

Prova:

$9\left(3\right)+5\left(-2\right)=17$