Question

1. \

$$\begin{cases} 4y + 3x = 8 \\\\ 8x - 9y = -77 \\end{cases}$$

\quad x = \quad y = \\\\

1. \

$$\begin{cases} x - 5y = 8 \\\\ -7x + 8y = 25 \\end{cases}$$

\quad x = \quad y =

Explanation:

Resolver la Pregunta 3

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Multiplicar (1) por 9 y (2) por 4:

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Sumar ambas ecuaciones:

$$ 59x = -236 \implies x = -4 $$

Sustituir \(x = -4\) en (1):

$$ 3(-4) + 4y = 8 \implies -12 + 4y = 8 \implies 4y = 20 \implies y = 5 $$

Resolver la Pregunta 4

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Multiplicar (1) por 7:

$$ 7x - 35y = 56 $$

Sumar con (2):

$$ (7x - 35y) + (-7x + 8y) = 56 + 25 \implies -27y = 81 \implies y = -3 $$

Sustituir \(y = -3\) en (1):

$$ x - 5(-3) = 8 \implies x + 15 = 8 \implies x = -7 $$

Answer:

Question 3

\(x = -4\), \(y = 5\)

Question 4

\(x = -7\), \(y = -3\)