SOLUTION: How do I identify the solution for x+3y=6 and 4x-3y=4?

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Question 905706: How do I identify the solution for x+3y=6 and 4x-3y=4?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Identify, or Solve? If you mean "identify", then this would be a point, (x,y) being the intersection of the two lines.

The two equations are well suited for immediately starting with the Elimination Method, but since you asked, you probably do not yet know that method.

Try substitution:
x=6-3y from first equation.
4%286-3y%29-3y=4 using substitution for x into the second equation.
24-12y-3y=4
-15y%2B24=4
-15y=4-24
15y=24-4
15y=20
y=20%2F15
highlight%28y=4%2F3%29
-
x=6-3%284%2F3%29
x=6-4
highlight%28x=2%29
-
SOLUTION is (2, 4/3)