We are given the following system of equations
[tex]\begin{gathered} 2x+3y=8\quad eq.1 \\ 2x+6y=12\quad eq.2 \end{gathered}[/tex]Let us solve the system of equations.
Subtract the eq.1 from eq.2
So, the x variable is canceled and we are left with
[tex]\begin{gathered} 3y=4 \\ y=\frac{4}{3} \end{gathered}[/tex]Substitute the value of y into any of the two equations
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