Question

Write the solution to the system below:

-3x+y=6
y=-
`(1)/(2)`x-1

Note: You can also answer "No solution" or "Infinite Many" solutions

Answer 1

-3x+y=6
-3x-1\2 x+1=6
-3x-1\2 x = 6-1
-3x-1\2x = 5
-6x-1x \ 2 = 5 (taking LCM on left side)
-5x\2 = 5
-5x =5*2
-5x=10
x = -2 Answer

Answer 2

`\left \{ {{y-3x=6} \atop {y+0,5x=-1}} \right. \\ \left \{ {{y-3x=6} \atop {-y-0,5x=1}} \right. \\ ------\\ -3,5x=7\\ \left \{ {{-3,5x=7} \atop {y-3x=6}} \right. \\ \left \{ {{x=-2} \atop {y+6=6}} \right. \\\\ \left \{ {{x=-2} \atop {y=0}} \right. \\`

solution
x=-2
y=0


Maja