SOLUTION: How do you solve this equation OF Linear equations by substitution : y=3-2x y=2-3x

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: How do you solve this equation OF Linear equations by substitution : y=3-2x y=2-3x      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 25543: How do you solve this equation OF Linear equations by substitution :
y=3-2x y=2-3x

Answer by rapaljer(4667) About Me  (Show Source):
You can put this solution on YOUR website!
Since y=3-2x, and y=2-3x, you can substitute the y = of the first equation into the y = of the second equation, and you have:
3-2x= 2-3x

Add +3x to each side:
3-2x + 3x = 2 -3x + 3x
3+x = 2

Subtract 3 from each side:
x=-1

Substitute back into the first equation:
y = 3-2x
y = 3-2(-1)
y = 5

Check in the second equation:
y = 2-3x
5 = 2-3(-1)
5=5
It checks!

The solution is the point (-1,5).

R^2 at SCC