SOLUTION: Solving Systems of Linear Equations. Solve by the addition method: x+3y=14 -x+y=2

Algebra ->  Linear-equations -> SOLUTION: Solving Systems of Linear Equations. Solve by the addition method: x+3y=14 -x+y=2       Log On


   



Question 992805: Solving Systems of Linear Equations.
Solve by the addition method:
x+3y=14
-x+y=2

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
x+3y=14
-x+y=2
***********************************
add the two equations
4y = 16
y = 4
now substitute for y in first equation
x + 12 = 14
x = 2
*************************************
check solution in second equation
-2+4 = 2
2 = 2
*************************************
solution x = 2, y = 4 checks