Solve for x, y, z
z = \frac{20}{3} = 6\frac{2}{3} \approx 6.666666667
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5\times 4=3x
Consider the first equation. Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of x,5.
20=3x
Multiply 5 and 4 to get 20.
3x=20
Swap sides so that all variable terms are on the left hand side.
x=\frac{20}{3}
Divide both sides by 3.
y=\frac{20}{3}
Consider the second equation. Insert the known values of variables into the equation.
z=\frac{20}{3}
Consider the third equation. Insert the known values of variables into the equation.
x=\frac{20}{3} y=\frac{20}{3} z=\frac{20}{3}
The system is now solved.
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