Question

metodo de igualación

5x+2y=11
2x-3y=12
paso a paso​

Answer 1

Explicación paso a paso:

$5x + 2y = 11 \\ 5x = 11 - 2y \\ x = \frac{11 - 2y}{5} \\ 2x - 3y = 12 \\ 2x = 12 + 3y \\ x = \frac{12 + 3y}{2}$

$\frac{11 - 2y}{5} = \frac{12 + 3y}{2} \\ 22 - 4y = 60 + 15y \\ - 60 + 22 = 15y + 4y \\ - 38 = 19y \\ y = \frac{ - 38}{19} = - 2 \\ y = - 2$

$x = \frac{12 + 3y}{2} = \frac{12 + 3( - 2)}{2} = \frac{12 + ( - 6)}{2} = \frac{6}{2} = 3 \\ x = 3$

$1) \\ 5 \times 3 + 2( - 2) = 15 + ( - 4) = 11 \\ 2) \\ 2 \times 3 - 3( - 2) = 6 - ( - 6) = 12$

espero te sirva