Solve for x, y, z
z=1.25
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0.875-\frac{1}{5}x=\frac{\frac{3}{16}}{0.3}
Consider the first equation. Subtract 0.4 from \frac{3}{5} to get \frac{1}{5}.
0.875-\frac{1}{5}x=\frac{3}{16\times 0.3}
Express \frac{\frac{3}{16}}{0.3} as a single fraction.
0.875-\frac{1}{5}x=\frac{3}{4.8}
Multiply 16 and 0.3 to get 4.8.
0.875-\frac{1}{5}x=\frac{30}{48}
Expand \frac{3}{4.8} by multiplying both numerator and the denominator by 10.
0.875-\frac{1}{5}x=\frac{5}{8}
Reduce the fraction \frac{30}{48} to lowest terms by extracting and canceling out 6.
-\frac{1}{5}x=\frac{5}{8}-0.875
Subtract 0.875 from both sides.
-\frac{1}{5}x=-\frac{1}{4}
Subtract 0.875 from \frac{5}{8} to get -\frac{1}{4}.
x=-\frac{1}{4}\left(-5\right)
Multiply both sides by -5, the reciprocal of -\frac{1}{5}.
x=\frac{5}{4}
Multiply -\frac{1}{4} and -5 to get \frac{5}{4}.
y=\frac{5}{4}
Consider the second equation. Insert the known values of variables into the equation.
z=\frac{5}{4}
Consider the third equation. Insert the known values of variables into the equation.
x=\frac{5}{4} y=\frac{5}{4} z=\frac{5}{4}
The system is now solved.
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