Respuesta :
ANSWER
By Substitution
STEP BY STEP EXPLANATION
[tex]\begin{gathered} x\text{ = }\frac{5y}{3}\text{ - 9} \\ 6x\text{ - }\frac{y}{4}\text{ = -14} \end{gathered}[/tex]Now, let's apply the substitution method
[tex]\begin{gathered} 6(\frac{5y}{3}\text{ - 9) - }\frac{y}{4}\text{ = -14} \\ 6(\frac{5y\text{ - 27}}{3})\text{ - }\frac{y}{4}\text{ = -14} \end{gathered}[/tex][tex]\begin{gathered} 2(5y\text{ - 27) - }\frac{y}{4}\text{ = -14} \\ \frac{8(5y\text{ - 27) - y}}{4}\text{ = -14} \\ 40y\text{ - }216\text{ - y = }-56 \\ 39y\text{ = -56 + 216} \\ y\text{ = }\frac{160}{39} \end{gathered}[/tex]Let's try Elimination method now to see the difference
[tex]\begin{gathered} x\text{ = }\frac{5y}{3}\text{ - 9} \\ 3x\text{ = 5y - 27} \\ 5y\text{ - 3x = 27}\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots.(1) \end{gathered}[/tex][tex]undefined[/tex]