Given:
The system of equations is,
2x+3y=0
6x+9y=8
Explanation:
Multiply the equation 2x+3y=0 by 3 and subtract from equation 6x+9y=8
.
[tex]\begin{gathered} 6x+9y-3(2x+3y)=8-3\cdot0 \\ 6x+9y-6x-9y=8-0 \\ 0=8 \end{gathered}[/tex]Since no variable left and left-hand side and right-hand side of the equation are unequal. So lines are parallel lines and there is no solution.
Answer: No solution