#### Answer

(2,4)

#### Work Step by Step

There are two equations that we can use: y=2x and x+y=6. Since y=2x is already simplified in which one variable is isolated from x we can substitute this equation into x+y=6.
x+y=6
x+2x=6
Solve for x. First combine like-terms.
3x=6
Then divide by 3 on both sides.
$\frac{3x}{3}$=$\frac{6}{3}$
x=2
Substitute x=2 into y=2x to solve for y.
y=2(2)
y=4
The ordered pair would then be (2,4) since x=2 and y=4