y=2x
6x+y=16
Use the first equation to substitute for y in the second equation.
6x+_=16
Solve the resulting equation for x.
y=2x
6x+y=16
y=2x
6x+2x=16 ==> x=2
Substitute the x-value to get the corresponding y-value.
y=2x
y=2(2)=4
Check both values in each of the original equations.
y=2x
4=?2(4)
equal
6x+y=16
6(2)+4=?16
16=?16
equal
____________
So, the ordered pair (2,4) is the solution of the system.
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