Substitute y=x-8 into the first equation
2x+3(x-8)=1
Expand
2x+3x-24=1
Collect like terms
5x-24=1
Move negative 24 to the other side as a positive number
5x= 25
Divide both sides by 5
25/5 is 5
Therefore x is equal to 5
Sub x equal five in second equation
y=5-8
5-8= -3
Therefore, y is equal to -3
Therefore, x is equal to 5 and y is equal to -3