Controlling relay with pushButton

hi,

i'm newbie c++ programing. have attached program gives me errors , have no idea how solve it.
i want activate relay when pushbutton on , deactivate when off (or vice versus). appreciate help.

thank you

int buttonpin = 5;
int relay = 3;

void setup(){
  serial.begin(9600);
  pinmode(buttonpin, input);

  pinmode(relay, output);
}

void loop(){
  boolean buttonstate = digitalread(buttonpin);

  serial.print("the button state = ");
  serial. println(buttonstate);

  if (buttonstate == 0);{digitalwrite(relay, high);}
 
  if (buttonstate == 1); {digitalwrite(relay, low);
  }

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