Explanation
Given the equation
[tex]\begin{gathered} x−2y=−1 \\ 4x−3y=16 \end{gathered}[/tex]From equation 1
[tex]x=2y-1[/tex]Substitute the above in equation 2
[tex]\begin{gathered} 4(2y-1)-3y=16 \\ 8y-4-3y=16 \\ 5y=16+4 \\ 5y=20 \\ y=\frac{20}{5} \\ y=4 \end{gathered}[/tex]Substitute y=4 into x=2y-1. Therefore;
[tex]\begin{gathered} x=2(4)-1 \\ x=8-1=7 \end{gathered}[/tex]Answer: (x,y) = (7,4)
