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How do you solve $x-y=3$ and $x-2y=3$ ?

1 Answer

Aug 5, 2015

Subtract one of the given equations from the other to get
$color(white)("XXXX")$ $y=0$
then substitute back into either of the equations to get
$color(white)("XXXX")$ $x=3$

Explanation:

[1] $color(white)("XXXX")$ $x-y=3$
[2] $color(white)("XXXX")$ $x-2y=3$

Subtract [2] from [1]
[3] $color(white)("XXXX")$ $y=0$

Substitute $0$ for $y$ in [1]
[4] $color(white)("XXXX")$ $x-0=3$
[5] $color(white)("XXXX")$ $x=3$

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