\left\{ \begin{array} { l } { - x + y - 6 = 0 } \\ { x + 4 - 6 = 0 } \end{array} \right.
Solve for x, y
x=2
y=8
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x-2=0
Consider the second equation. Subtract 6 from 4 to get -2.
x=2
Add 2 to both sides. Anything plus zero gives itself.
-2+y-6=0
Consider the first equation. Insert the known values of variables into the equation.
-8+y=0
Subtract 6 from -2 to get -8.
y=8
Add 8 to both sides. Anything plus zero gives itself.
x=2 y=8
The system is now solved.
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