Answer:
1.[tex]y=\frac{-6-x}{2}[/tex]
2.B.(-15,21), (-6,12), (-1,7)
Step-by-step explanation:
In order to solve for Y the first equation you just have to clear the Y from one side of the equation, and we just do it by steps:
[tex]x + 2y = -6.\\x + 2y + (-x)= -6+ (-x)\\\frac{2y}{2}=\frac{-6-x}{2} \\y=\frac{-6-x}{2}[/tex]
First you add in both sides of the equation a -x to eliminate the X on the Y side of the equation, and then you divide both sides of the equation by 2, to eliminate the 2 from the Y side of the equation, and now you have you equation solved for Y.
To calculate which pair od solutions are correct, you just have to input the values for X into the equation:
[tex]x+y=6\\(-15)+y=6\\y=6+15\\y=21[/tex]
So our first pair would be (-15,21)
[tex]x+y=6\\(-6)+y=6\\y=6+6\\y=12[/tex]
So our second pair would be (-6,12)
[tex]x+y=6\\(-1)+y=6\\y=6+1\\y=7[/tex]
So our third pair would be (-1,7), and the answer is option "B".
