SOLUTION: solve the linear system x+y=13 x-y=5

Question 80465: solve the linear system
x+y=13
x-y=5
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
x+y=13
x-y=5
_______ [add the terms]
2x+0y=18
.
2x=18 [solve for the x-term]
2x/2=18/2
x=9 [plug (x=9 back into either equation and solve for the y-term]
.
x+y=13
9+y=13
y=13-9
y=4
y=4
.
Check by plugging the values back into either equation and solve:
x+y=13
9+4=13
13=13 [checks out]
RELATED QUESTIONS
Solve the system of linear equations by graphing: x+y=5... (answered by Fombitz)

Solve the linear system: x+2y= 1 -x+y=... (answered by lyra)

Please help me solve for x and y in the following linear system. x-y=5 2x-y=13... (answered by mananth)

Solve the system of linear equations. x/4 - y/11 = -9/44 x/6 - y/13 =... (answered by CharlesG2,drk,richwmiller)

solve the linear system using elimination: x+y=5... (answered by solver91311)

solve the linear quadratic system algebraically y= 5-x^2 y=... (answered by ewatrrr)

Graph and check to solve the linear system 3 x + y = 5 -x + y =... (answered by Fombitz)

solve the system of linear equations by graphing x+y=-2 x+y=5 (answered by josgarithmetic)

please help me solve this equation. solve the linear system. y=-4x+4... (answered by ewatrrr,MathLover1)