Answer :
The equations are 2x + 3y = 15 and x - 3y = 3.
Add the equations to eliminate the y term and obtain the value of x.
[tex]\begin{gathered} 2x+3y+x-3y=15+3 \\ 3x=18 \\ x=\frac{18}{3} \\ =6 \end{gathered}[/tex]Substitute 6 for x in equation 2x + 3y = 15 to obtain the value of y.
[tex]\begin{gathered} 2\cdot6+3y=15 \\ 3y=15-12 \\ y=\frac{3}{3} \\ =1 \end{gathered}[/tex]Thus solution of equations is x = 6 and y = 1.