SOLUTION: Solve the system by substitution. x+y=12 y=2x

Question 56682: Solve the system by substitution.
x+y=12
y=2x
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Solve the system by substitution.
L1) x+y=12
L2) y=2x
:
Substitute 2x in for y in L1) and solve for y:
x+(2x)=12
3x=12
3x/3=12/3
x=4
:
Substitute 4 in for x in L2) and solve for x:
y=2(4)
y=8
The solution is (x,y)=(4,8)
:
Check by substituting (4,8) into L1 and L2 and see if they equal.
L1) (4)+(8)=12
12=12 L1 checks out!
L2) (8)=2(4)
8=8 L2 checks too!!! We're right!!!
Happy Calculating!!!

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