We have the expression
[tex]y=\frac{3}{4}x-2\frac{1}{2}[/tex]If x=3, then the expression takes the value:
[tex]\begin{gathered} y=\frac{3}{4}(3)-2\frac{1}{2} \\ =\frac{9}{4}-\frac{5}{2} \\ =\frac{18-20}{8} \\ =\frac{-2}{8} \\ =-\frac{1}{4} \end{gathered}[/tex]Now, if y=2 then:
[tex]\begin{gathered} 2=\frac{3}{4}x-2\frac{1}{2} \\ 2+2\frac{1}{2}=\frac{3}{4}x \\ 2+\frac{5}{2}=\frac{3}{4}x \\ \frac{4+5}{2}=\frac{3}{4}x \\ \frac{9}{2}=\frac{3}{4}x \\ x=(\frac{4}{3})(\frac{9}{2}) \\ x=\frac{36}{6} \\ x=6 \end{gathered}[/tex]