How do you solve the following system?: #6x -3y =-3 , -3x +y = 8#
You can do it two ways. One is graphical:
Let the first graph be
This can be arranged as the linear graph
The other is
Graphically this gives:
The solution that fulfills both equations then is x=-7, y=-13.
We can also solve it this way:
Insert this in the other equation:
Insert this in the first equation:
Please read below
Isolate one variable in one of the equations, then use the expression for that variable to solve for the other. Plug the value of the variable you just solve for into either of the other expressions to find out the value of the other. I'll demonstrate below.
Step 1: Find an expression for
(I'd recommend using the blue equation to do this step)
Step 2: use the expression for
I've condensed all the various algebraic steps to solve for
Step 3: Use the found value of
Hope that helps!