Can please someone help me out and explain it step by step. Thank you

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]