Question

Resuelve el siguiente sistema ecuaciones : 7x+4y = 2. 5x- 2y = 16​

Answer 1

Explicación paso a paso:

$5x - 2y = 16 \: \: \: \: \: \: ( \times 2) \\ 10x - 4y = 32$

$7x + 4y = 2 \\ 10x - 4y = 32 \\ 17x = 34 \\ x = \frac{34}{17} = 2 \\ 7 \times 2 + 4y = 2 \\ 14 + 4y = 2 \\ 4y = 2 - 14 \\ 4y = - 12 \\ y = \frac{ - 12}{4} = - 3$

$7x + 4y = 7 \times 2 + 4 \times ( - 3) = \\ 14 + ( - 12) = 2$

$5x - 2y = 16 \\ 5 \times 2 - 2 \times ( - 3) = 10 + 6 = 16$