Question

Por igualación
(3x + 2y = 7
(4x - 3y = -2​

Answer 1

Respuesta:

x = 1;   y = 2

Explicación paso a paso:

3x + 2y = 7 ...ec.1

4x - 3y = -2​ ...ec.2

* Despejando x en ec.1:

3x + 2y = 7

3x = 7 - 2y

x = (7 - 2y) / 3 ....ec.3

* Despejando x en ec.1:

4x - 3y = -2

4x = -2 + 3y

x = (-2 + 3y) / 4 ....ec.4

Igualando ec.3 y ec.4

$\frac{(7 - 2y)}{3} =\frac{-2 + 3y}{4}$

4(7 - 2y) = 3(-2 + 3y)

28 - 8y = -6 + 9y

28 + 6 = 9y + 8y

34 = 17y

y = 2

Reemplazando y = 2 en ec.3

x = (7 - 2(2)) / 3

x = (7 - 4) / 3

x = 3/3

x = 1