Question

 2x- 3y=9

 

5x+3y=12

 

How would i solve this? I dont understand this and i really need help with it!Also I have to graph the anwsers afterward on a graph, so i really need the help. I appreciate it:)

Answer 1

`\begin{cases} 2x- 3y=9 \\5x+3y=12 \end{cases}\\ + \ \ ------- \\ 7x=21 \ \ /: 7\\ \\x=(21)/(3)\\ \\ x=3 \\ \\2x- 3y=9`


`2*3-3y=9\\ \\6-3y =9\\ \\-3y=9-6\\ \\-3y=3 \ \ / :(-3)\\ \\x=-1\\ \\ \begin{cases} x=3\\y= -1 \end{cases}`


`graph\\ \\\begin{cases} 2x- 3y=9 \\5x+3y=12 \end{cases}\\ \\ \begin{cases} - 3y=-2x+9\ \ /:(-3) \\ 3y=-5x+12 \ \ /:3 \end{cases}\\ \\ \begin{cases} y= (2)/(3)x-3 \\ y=-(5)/(3)x+4 \end{cases}`