SOLUTION: Solve the system by substitution. x + y = 12 y = 2x
Algebra
->
Algebra
->
Coordinate Systems and Linear Equations
->
Lessons
-> SOLUTION: Solve the system by substitution. x + y = 12 y = 2x
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:
Algebra Solved!™
: algebra software solves algebra homework problems with step-by-step help!
Ad:
Algebrator™
solves your algebra problems and provides step-by-step explanations!
Linear Solvers
Practice
Answers archive
Word Problems
Lessons
In depth
If you need
immediate math help from PAID TUTORS right now
, click here
. (paid link)
Click here to see ALL problems on Linear-systems
Question 61367
:
Solve the system by substitution. x + y = 12
y = 2x
Answer by
tutorcecilia(2144)
(
Show Source
):
You can
put this solution on YOUR website!
x + y = 12
y = 2x
.
x+(2x)=12 [Substitute (y=2x) for y]
3x=12
x=4
.
4+y=12 [solve for y]
y=12-4
y=8
.
checking:
x+y=12
(4)+(8)=12
12=12 [checks out]
and
y=2x
8=2(4)
8=8 [also checks out]