SOLUTION: Solve the system by substitution. y=2x-3 y=x-2

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve the system by substitution. y=2x-3 y=x-2      Log On


   



Question 176009: Solve the system by substitution.
y=2x-3
y=x-2

Found 2 solutions by Mathtut, checkley75:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
y=2x-3........eq 1
y=x-2.........eq 2
:
so take the value of y from eq 2 and plug it into eq 1
:
(x-2)=2x-3
:
highlight%28x=1%29
:
now take x's found value of 1 and plug it back into either eq 1 or 2. I choose eq 2.
:
highlight%28y=1-2=-1%29

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
y=2x-3
y=x-2
x-2=2x-3
x-2x=-3+2
-x=-1
x=1 ans.
y=2*1-3
y=2-3
y=-1 ans.
Proof:
-1=1-2
-1=-1