Solve for x, y, z
z=222
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0.72x+3\left(0.5+x\right)=2x+9
Consider the first equation. Multiply both sides of the equation by 6, the least common multiple of 2,3.
0.72x+1.5+3x=2x+9
Use the distributive property to multiply 3 by 0.5+x.
3.72x+1.5=2x+9
Combine 0.72x and 3x to get 3.72x.
3.72x+1.5-2x=9
Subtract 2x from both sides.
1.72x+1.5=9
Combine 3.72x and -2x to get 1.72x.
1.72x=9-1.5
Subtract 1.5 from both sides.
1.72x=7.5
Subtract 1.5 from 9 to get 7.5.
x=\frac{7.5}{1.72}
Divide both sides by 1.72.
x=\frac{750}{172}
Expand \frac{7.5}{1.72} by multiplying both numerator and the denominator by 100.
x=\frac{375}{86}
Reduce the fraction \frac{750}{172} to lowest terms by extracting and canceling out 2.
x=\frac{375}{86} y=222 z=222
The system is now solved.
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