Question

5x-y=13
2x+y=1



Prfv me ajudem

Answer 1

Resposta:

OLÁ

VAMOS A SUA PERGUNTA:⇒⇒

$\begin{cases}\sf5x-y=13&\\\sf2x+y=1\end{cases}$

$\sf 5x-y=13,2x+y=1$

$\sf 5x-y=13$

$\sf 5x=y+13$

$\sf x=\dfrac{1}{5}(y+13)$

$\sf x=\dfrac{1}{5}y+\dfrac{13}{5}$

$\sf \sf 2\left(\dfrac{1}{5}y+\dfrac{13}{5}\right)+y=1$

$\sf \dfrac{2}{5}y+\dfrac{26}{5}+y=1$

$\sf \dfrac{7}{5}y+\dfrac{26}{5}=1$

$\sf \sf \dfrac{7}{5}y=-\dfrac{21}{5}=1$

$\sf \green{y=-3}$

$\sf x=\dfrac{1}{5}(-3)+\dfrac{13}{5}$

$\sf x=\dfrac{-3+13}{5}$

$\sf \blue{x=2}$

$\boxed{\bold{\displaystyle{\clubsuit\ \spadesuit\ \maltese\ \sf \green{y=-3} }}}\ \checkmark\\\boxed{\bold{\displaystyle{\clubsuit\ \spadesuit\ \maltese\ \sf \blue{x=2} }}}\ \checkmark$←←↑↑ RESPOSTA.

Explicação passo-a-passo:

ESPERO TER AJUDADO

Answer 2

sistemas lineares - método da substituição

{5x-y=13

{2x+y=1

y = 1 - 2x

5x -(1 - 2x) = 13

5x -1 +2x = 13

7x = 13 + 1

7x = 14

x = 14/7

x = 2

y = 1 -2.2

y = -3

verificando:

5.2 -(-3) = 13

2.2 -3 = 1

S = {(2,-3)}

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