Question

Solve the system using substitution.
x + 3y = 3
3y - 2x = 12
([?], [ ])

Answer 1

(-3,2)

Explanation:

Answer 2

Answer: (-3,2)

Explanation:

Solving by substitution involves taking one of the equations and basically plugging it into the other.

I would start by taking the first equation and rearranging it to equal a variable. It will be easier to solve using this equation as the x variable is already isolated.

Take:
`x+3y=3`

Subtract 3y to the other side:
`x=3-3y`

Now plug this equation in for the value x into the other equation like so:

`3y-2(3-3y)=12`

Now there is only one variable to solve in this new equation. Solve for the value y.

Distribute -2:
`3y-6+6y=12`

Combine Like Terms:
`9y-6=12`

Add 6 to both sides to cancel:
`9y=18`

Divide by 9 to both sides to cancel 9:
`y=2`

So the value y=2.

Now we can plug the value of y back into either equation to now solve for x.

`x+3(2)=3`

`x+6=3`

`x=-3`

Now you have the point (-3,2)

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