Solve the system of equations using the method of elimination by addition

Explanation
[tex]\begin{gathered} 2x+3y=7---equation1 \\ 4x+6y=15----equation2 \end{gathered}[/tex]To solve the question using the elimination method
We will have to multiply equation 1 by -2 so that we can eliminate x
[tex]\begin{gathered} -4x-6y=-14 \\ 4x+6y=15 \end{gathered}[/tex]Simplifying further by addition
[tex]0+0=1[/tex]Hence, we will have
[tex]0=1[/tex]Hence, we have no solution
The answer is no solution