Question

resuelve analíticamente el sistema 1/2x+3y
3x-y=-5

Answer 1

Respuesta:

[tex]x=\frac{-10+2y}{1+18y};\quad \:y\ne \:-\frac{1}{18}[/tex]

Explicación paso a paso:

1/2x+3y 3x-y=-5

[tex]\frac{1}{2}x+9xy-y=-5[/tex]

[tex]\frac{1}{2}x+9xy-y+y=-5+y[/tex]

[tex]\frac{1}{2}x+9xy=-5+y[/tex]

[tex]\frac{1}{2}x\cdot \:2+9xy\cdot \:2=-5\cdot \:2+y\cdot \:2[/tex]

[tex]x\left(1+18y\right)=-10+y\cdot \:2[/tex]

[tex]\frac{x\left(1+18y\right)}{1+18y}=-\frac{10}{1+18y}+\frac{y\cdot \:2}{1+18y};\quad \:y\ne \:-\frac{1}{18}[/tex]

[tex]x=\frac{-10+2y}{1+18y};\quad \:y\ne \:-\frac{1}{18}[/tex]