Respuesta :

Answer:[tex]x=7, \ y=-2[/tex]

Step-by-step explanation:

Given

Equations are [tex]3x-y=23[/tex] and [tex]2x+3y=8[/tex]

take [tex]3x-y=23[/tex]

[tex]y=3x-23[/tex]

Put the value of y in another equation

[tex]\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7[/tex]

Put the value of x in y

[tex]y=3(7)-23=21-23=-2[/tex]

Hence, [tex]x=7, \ y=-2[/tex]