Question

Find four solutions of the equation. Write the solutions as ordered pairs. 3x-y=-6

Answer 1

Key Ideas

• Linear equations
• Finding solutions to the linear equation

Solving the Question

We're given:

• 3x-y=-6
• Find 4 solutions

We can start by isolating one of the variables, like y:

`3x-y=-6\\-y=-3x-6\\y=3x+6`

Now we can find four solutions by plugging in any number for x:

`y=3x+6\\y=3(1)+6\\y=3+6\\y=9`

First solution: (1,9)

`y=3x+6\\y=3(2)+6\\y=6+6\\y=12`

Second solution: (2,12)

`y=3x+6\\y=3(3)+6\\y=9+6\\y=15`

Third solution: (3,15)

`y=3x+6\\y=3(4)+6\\y=12+6\\y=18`

Fourth solution: (4,18)

Possible Answers

First solution: (1,9)

Second solution: (2,12)

Third solution: (3,15)

Fourth solution: (4,18)