Solve for x, y, z
z=30
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3x=150-2x
Consider the first equation. Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+2x=150
Add 2x to both sides.
5x=150
Combine 3x and 2x to get 5x.
x=\frac{150}{5}
Divide both sides by 5.
x=30
Divide 150 by 5 to get 30.
y=30
Consider the second equation. Insert the known values of variables into the equation.
z=30
Consider the third equation. Insert the known values of variables into the equation.
x=30 y=30 z=30
The system is now solved.
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