Question

3x + 2y = 14 5x – 2y = 2 método de sustitusion

Answer 1

Explicación paso a paso:

$3x + 2y = 14 \\ 3x = 14 - 2y \\ x = \frac{14 - 2y}{3} \\ \\ 5x - 2y = 2 \\ 5 \times \frac{14 - 2y}{3} - 2y = 2 \\ \frac{70 - 10y}{3} - 2y = 2 \\ \frac{70 - 10y}{3} - \frac{6y}{3} = 2 \\ \frac{70 - 10y - 6y}{3} = 2 \\ \frac{70 - 16y}{3} = 2 \\ 70 - 16y = 6 \\ - 16y = 6 - 70 \\ - 16y = - 64 \\ 16y = 64 \\ y = \frac{64}{16} = 4 \\ y = 4$

$x = \frac{14 - 2y}{3} = \frac{14 - 2 \times 4}{3} = \frac{14 - 8}{3} = \frac{6}{3} = 2$

$3 \times 2 + 2 \times 4 = 6 + 8 = 14 \\ 5 \times 2 - 2 \times 4 = 10 - 8 = 2$

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