SOLUTION: Solve each system using substition. Write no solution or infinitely many solutions where appropriate. {{{ y= 3x -10 }}} {{{ AND }}} {{{y= 2x -5 }}} PLEASE AND THANK YOU!!

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve each system using substition. Write no solution or infinitely many solutions where appropriate. {{{ y= 3x -10 }}} {{{ AND }}} {{{y= 2x -5 }}} PLEASE AND THANK YOU!!      Log On


   

Question 254349: Solve each system using substition. Write no solution or infinitely many solutions where appropriate.
+y=+3x+-10+
+AND+
y=+2x+-5+
PLEASE AND THANK YOU!!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each system using substition. Write no solution or infinitely many solutions where appropriate.
+y=+3x+-10+
+AND+
y=+2x+-5+
-----------------------------
Since both expressions are equal to "y",
3x-10 = 2x-5
Subtract 2x from both sides to get:
x - 10 = -5
Add 10 to both sides:
x = 5
---
Since y = 2x-5, y = 2*5-5 = 10-5 = 5
-----
Solution:
x = 5 ; y = 5
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Cheers,
Stan H.