The equation are x-3y=-13 and 2x+15y=16.
The coefficients of y is not equal in both equations.
Multiply the equation x-3y=-13 by 5.
[tex]\begin{gathered} 5(x-3y)=-13\cdot5 \\ 5x-15y=-65 \end{gathered}[/tex]Add the equation 5x-15y=-65 and 2x+15y=16 to eliminate the y.
[tex]\begin{gathered} 5x-15y+2x+15y=-65+16 \\ 7x=-49 \\ x=-\frac{49}{7} \\ =-7 \end{gathered}[/tex]Substitute 7 for x in the equation x-3y=-13 to obtain the value of y.
[tex]\begin{gathered} -7-3y=-13 \\ -3y=-13+7 \\ y=\frac{-6}{-3} \\ =2 \end{gathered}[/tex]The solution of the equations is (-7,2).
