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Solve for y, x, z
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x=-3\left(-5x-5z+11\right)-z+19 z=x-\left(-5x-5z+11\right)
Substitute -5x-5z+11 for y in the second and third equation.
x=1-z z=-\frac{3}{2}x+\frac{11}{4}
Solve these equations for x and z respectively.
z=-\frac{3}{2}\left(1-z\right)+\frac{11}{4}
Substitute 1-z for x in the equation z=-\frac{3}{2}x+\frac{11}{4}.
z=-\frac{5}{2}
Solve z=-\frac{3}{2}\left(1-z\right)+\frac{11}{4} for z.
x=1-\left(-\frac{5}{2}\right)
Substitute -\frac{5}{2} for z in the equation x=1-z.
x=\frac{7}{2}
Calculate x from x=1-\left(-\frac{5}{2}\right).
y=-5\times \frac{7}{2}-5\left(-\frac{5}{2}\right)+11
Substitute \frac{7}{2} for x and -\frac{5}{2} for z in the equation y=-5x-5z+11.
y=6
Calculate y from y=-5\times \frac{7}{2}-5\left(-\frac{5}{2}\right)+11.
y=6 x=\frac{7}{2} z=-\frac{5}{2}
The system is now solved.