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Solve for x, y, z
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11x+2x+x=24
Consider the first equation. Combine 3x and 8x to get 11x.
13x+x=24
Combine 11x and 2x to get 13x.
14x=24
Combine 13x and x to get 14x.
x=\frac{24}{14}
Divide both sides by 14.
x=\frac{12}{7}
Reduce the fraction \frac{24}{14} to lowest terms by extracting and canceling out 2.
y=13\times \frac{12}{7}
Consider the second equation. Insert the known values of variables into the equation.
y=\frac{156}{7}
Multiply 13 and \frac{12}{7} to get \frac{156}{7}.
z=\frac{156}{7}
Consider the third equation. Insert the known values of variables into the equation.
x=\frac{12}{7} y=\frac{156}{7} z=\frac{156}{7}
The system is now solved.