\left\{ \begin{array} { l } { x = y + 5 } \\ { 2 x - y = 5 } \\ { x + y + a = 0 } \end{array} \right.
Solve for x, y, a
x=0
y=-5
a=5
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2\left(5+y\right)-y=5 5+y+y+a=0
Substitute 5+y for x in the second and third equation.
y=-5 a=-5-2y
Solve these equations for y and a respectively.
a=-5-2\left(-5\right)
Substitute -5 for y in the equation a=-5-2y.
a=5
Calculate a from a=-5-2\left(-5\right).
x=-5+5
Substitute -5 for y in the equation x=y+5.
x=0
Calculate x from x=-5+5.
x=0 y=-5 a=5
The system is now solved.
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