Write the system of equations.
let x be number of male students
let y be number of female students
the number of students can be modeled by the equation
[tex]x+y=38[/tex]the number of female students can be modeled by the equation
[tex]y=x-16[/tex]insert the second equation into the first equation
[tex]\begin{gathered} x+(x-16)=38 \\ 2x-16=38 \end{gathered}[/tex]solve the equation for x
[tex]\begin{gathered} 2x=38+16 \\ 2x=54 \\ x=\frac{54}{2} \\ x=27 \end{gathered}[/tex]use the number of x into the second equation to find y
[tex]\begin{gathered} y=x-16 \\ y=27-16 \\ y=11 \end{gathered}[/tex]prove that the results is correct with the first equation
[tex]\begin{gathered} x+y=38 \\ 27+11=38 \\ 38=38 \end{gathered}[/tex]