The given equation is
[tex]2x+3y=7[/tex]To find a solution we must choose a value of x, then find the corresponding value of y
Let us choose x = 2
Substitute x in the equation by 2
[tex]2(2)+3y=7[/tex]Then let us find the value of y
[tex]4+3y=7[/tex]Subtract 4 from both sides
[tex]\begin{gathered} 4-4+3y=7-4 \\ 3y=3 \end{gathered}[/tex]Divide both sides by 3
[tex]\begin{gathered} \frac{3y}{3}=\frac{3}{3} \\ y=1 \end{gathered}[/tex]The solution is (2, 1)
