Solve for x, y, z, a, b, c
c=2
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1\times 3\times 1\left(x-\frac{2}{3}\right)=0
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 3x, the least common multiple of x,3.
3\times 1\left(x-\frac{2}{3}\right)=0
Multiply 1 and 3 to get 3.
3\left(x-\frac{2}{3}\right)=0
Multiply 3 and 1 to get 3.
3x-2=0
Use the distributive property to multiply 3 by x-\frac{2}{3}.
3x=2
Add 2 to both sides. Anything plus zero gives itself.
x=\frac{2}{3}
Divide both sides by 3.
x=\frac{2}{3} y=2 z=2 a=2 b=2 c=2
The system is now solved.
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