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Solve the system: x+y=12 x-2y=0

1 Answer

4 votes

Answer:

x=8, y=4

Explanation:

I solved it using the substitution method, but any works really.

x+y=12

x-2y=0

x=12-y

Plug in given value of x:

12-y-2y=0

12-3y=0

-3y=-12

y=4

Plug in given value of y into first equation:

x+y=12

x+4=12

x=12-4

x=8

We can also do this using the Gauss method:

x+y=12 (Multiply this equation by -1)

x-2y=0

-x-y=-12 (Add both equations together)

x-2y=0

x-x-2y-y=-12+0 (Cancel out x and -x)

-3y=-12

y=4

Plug in given value of y:

x+y=12

x+4=12

x=8

Hope this helps!

User Tom Squires
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