Given equation,
[tex]-2x+3y=6[/tex](a) Find y when x is 3.
[tex]\begin{gathered} -2\times(3)+3y=6 \\ -6+3y=6 \\ 3y=12 \\ y=4 \end{gathered}[/tex](b) Find x when y is 4.
[tex]\begin{gathered} -2x+3y=6 \\ -2x+3\times4=6 \\ -2x+12=6 \\ -2x=-6 \end{gathered}[/tex]Thus, the value of x is
[tex]\begin{gathered} 2x=6 \\ x=3 \end{gathered}[/tex]