Answer:
x = -3
In-Depth Steps:
1.) Start with the bottom equation: [tex]x+2y=-3[/tex]
2.) Set [tex]x[/tex] alone on one side of the equal sign. Your equation will look like [tex]3+2y=x[/tex].
3.) Plug [tex]3+2y[/tex] in for [tex]x[/tex] in the first equation. You will get [tex]2(3+2y)+5y=6[/tex].
4.) Distribute. Your equation now looks like this: [tex](6+4y)+5y=6[/tex].
5.) Combine like terms. You will get [tex]6+9y=6[/tex].
6.) Subtract 6 from both sides. You get [tex]9y=0[/tex]. We can learn that Y=0.
7.) Go back to either equation and put 0 in for y.
8.) In the top equation, it would look like [tex]2x=6[/tex] and the bottom equation would look like [tex]x=-3[/tex]. We basically got our answer of [tex]x = -3[/tex], but we will plug it into the [tex]2x=6[/tex] equation, and in-fact, we get x = -3.
