Question

8p-3q=8

2p+9q=15

Método de igualación

Por favor

Answer 1

Respuesta:

q=4/3 y p=3/2

Explicación:

8p-3q=8 --- 8p=3q+8 --- p=(3/8)q+1

2p+9q=15 --- 2p=-9q+15 --- p=(-9/2)q+(15/2)

$(\frac{3}{8})q+1=(-\frac{9}{2}) q+(\frac{15}{2})\\(\frac{3}{8})q+(\frac{9}{2})q=(\frac{15}{2})-1\\(\frac{3+36}{8})q=(\frac{15-2}{2})\\\frac{39}{8} q=\frac{13}{2} \\q=\frac{13}{2} .\frac{8}{39} \\q=\frac{4}{3}$

$p=(\frac{3}{8} ).(\frac{4}{3} )+1\\p=\frac{12}{24} +1\\p=\frac{1}{2}+1\\p= \frac{1+2}{2} \\p=\frac{3}{2}$