Question

resolva o sistema:

x-2y=3
2x-3y=4

Answer 1

x-2y=3
2x-3y=4

Isolando X:
x-2y=3
x=3-2y

Substituindo X:
2x-3y=4
2(3-2y)-3y=4
6-4y-3y=4
-4y-3y=4-6
-7y=-2 (*-1)
7y=2
y=$\frac{2}{7}$

Substituindo Y:
x-2y=3
x-2($\frac{2}{7}$)=3
x-$\frac{4}{7}$=3
x=3+$\frac{4}{7}$
x=$\frac{21}{7} + \frac{4}{7}$
x=$\frac{25}{7}$