Solve for x, y, z
z=-2
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7+2x=3\left(-x\right)+12-15
Consider the first equation. Use the distributive property to multiply 3 by -x+4.
7+2x=3\left(-x\right)-3
Subtract 15 from 12 to get -3.
7+2x-3\left(-x\right)=-3
Subtract 3\left(-x\right) from both sides.
7+2x-3\left(-1\right)x=-3
Multiply -1 and 3 to get -3.
7+2x+3x=-3
Multiply -3 and -1 to get 3.
7+5x=-3
Combine 2x and 3x to get 5x.
5x=-3-7
Subtract 7 from both sides.
5x=-10
Subtract 7 from -3 to get -10.
x=\frac{-10}{5}
Divide both sides by 5.
x=-2
Divide -10 by 5 to get -2.
y=-2
Consider the second equation. Insert the known values of variables into the equation.
z=-2
Consider the third equation. Insert the known values of variables into the equation.
x=-2 y=-2 z=-2
The system is now solved.
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