Question

{6x+1y=31
1x-4y=1

me ajude pfv estou chorado
​

Answer 1

Resposta: x=5, y =1

Explicação passo a passo:

6x + y = 31

x - 4y =1

Da segunda equação, x = 1 + 4y

Substituindo isso na primeira equação:

6x + y = 31

6*(1 + 4y) + y =31

1*6 + 4*6*y + y = 31

6 + 24y + y = 31

25y = 31 - 6

25y = 25

y = 1

como x = 1 + 4y

x = 1 + 4*1

x = 5

Answer 2

$\Large\mathsf\displaystyle{}\begin{cases}6x + 1y = 31 \\ 1x - 4y = 1\end{cases} \\ \\\Large\mathsf\displaystyle{} \begin{cases}y = 31 - 6x \\ 1x - 4y = 1\end{cases} \\ \\\Large\mathsf\displaystyle{}1x - 4\left(31 - 6x\right) = 1 \\\Large\mathsf\displaystyle{}x - 4 \left(31 - 6x\right) = 1 \\ \Large\mathsf\displaystyle{}x - 124 + 24 = 1 \\\Large\mathsf\displaystyle{}25x - 124 = 1 \\\Large\mathsf\displaystyle{}25x = 1 + 124 \\\Large\mathsf\displaystyle{}25x = 125 \\\Large\mathsf\displaystyle{}x = 5 \\\\\Large\mathsf\displaystyle{}y = 31 - 6 \cdot5 \\\Large\mathsf\displaystyle{}y = 31 - 30 \\\Large\mathsf\displaystyle{}y = 1 \\\\\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{ \left(x,y\right) =\left(5,1\right) }}}\end{gathered} }$

$\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{{ \red{Bons}} \blue{\:Estudos}}}}\end{gathered} }$