Key Ideas
- Linear equations
- Finding solutions to the linear equation
Solving the Question
We're given:
We can start by isolating one of the variables, like y:
[tex]3x-y=-6\\-y=-3x-6\\y=3x+6[/tex]
Now we can find four solutions by plugging in any number for x:
[tex]y=3x+6\\y=3(1)+6\\y=3+6\\y=9[/tex]
First solution: (1,9)
[tex]y=3x+6\\y=3(2)+6\\y=6+6\\y=12[/tex]
Second solution: (2,12)
[tex]y=3x+6\\y=3(3)+6\\y=9+6\\y=15[/tex]
Third solution: (3,15)
[tex]y=3x+6\\y=3(4)+6\\y=12+6\\y=18[/tex]
Fourth solution: (4,18)
Possible Answers
First solution: (1,9)
Second solution: (2,12)
Third solution: (3,15)
Fourth solution: (4,18)
