SOLUTION: x+y=1 2x-y=2 rules say to use substitution to solve the system

Algebra.Com
Question 29547: x+y=1
2x-y=2
rules say to use substitution to solve the system

Answer by sdmmadam@yahoo.com(530)   (Show Source): You can put this solution on YOUR website!
x+y=1----(1)
2x-y=2 ----(2)
(1) implies x = (1-y) ----(*)(subtracting y from both the sides)
Putting (*) in (2)
2x-y=2
2(1-y)-y=2
2-2y-y = 2
2-3y = 2
2-2 = 3y
0=3y
That is 3y = 0
y =0/3 = 0
Putting y=0 in (*)
x=(1-y) = (1-0)=1
Answer: x=1,y=0
Verification: Putting x=1 and y=0 in (1)
x+y =1
LHS = x+y = 1+0 = 1 =RHS

RELATED QUESTIONS

Am I asking this correctly? The directions say: Use the substitution method to solve... (answered by stanbon)
Use substitution or elimination to solve the system of equation: y+2x= -1... (answered by rfer)
Use substitution to solve the linear system y=x-3... (answered by jim_thompson5910)
use substitution to solve the system -5+2y=27 y=2x+11 x=... (answered by stanbon)
Use substitution to solve the system. x-2y=11 2x+5y=-23 x=... (answered by josgarithmetic,ikleyn)
Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x =... (answered by checkley77)
[ Use substitution to solve the system of equations 2x-3y=21 y=3-x... (answered by TimothyLamb)
Use substitution to solve the system of equations Y=4x-1... (answered by josgarithmetic)
Use the substitution method to solve the linear system 13. 3x-y = -2 y = 2x+3 (answered by solver91311)