Answer :
Given,
The expression is:
[tex]\begin{gathered} x+y=7 \\ 2x+3y=16 \end{gathered}[/tex]Taking the first equation as,
[tex]\begin{gathered} x+y=7 \\ x=7-y \end{gathered}[/tex]Substituting the value of x in second equation.
[tex]\begin{gathered} 2x+3y=16 \\ 2(7-y)+3y=16 \\ 14-2y+3y=16 \\ y=16-14 \\ y=2 \end{gathered}[/tex]Substituting the value of y in first equation.
[tex]\begin{gathered} x+y=7 \\ x+2=7 \\ x=5 \end{gathered}[/tex]Hence, the solution of system of equation is (5, 2).