Answer: (-3,2)
Step-by-step 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: [tex]x+3y=3[/tex]
Subtract 3y to the other side: [tex]x=3-3y[/tex]
Now plug this equation in for the value x into the other equation like so:
[tex]3y-2(3-3y)=12[/tex]
Now there is only one variable to solve in this new equation. Solve for the value y.
Distribute -2: [tex]3y-6+6y=12[/tex]
Combine Like Terms: [tex]9y-6=12[/tex]
Add 6 to both sides to cancel: [tex]9y=18[/tex]
Divide by 9 to both sides to cancel 9: [tex]y=2[/tex]
So the value y=2.
Now we can plug the value of y back into either equation to now solve for x.
[tex]x+3(2)=3[/tex]
[tex]x+6=3[/tex]
[tex]x=-3[/tex]
Now you have the point (-3,2)
You can check your answers if you would like.
