Solve for x, y, z
z=6
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5x-8-4x-3x=6x-24
Consider the first equation. Use the distributive property to multiply -4 by 2+x.
x-8-3x=6x-24
Combine 5x and -4x to get x.
-2x-8=6x-24
Combine x and -3x to get -2x.
-2x-8-6x=-24
Subtract 6x from both sides.
-8x-8=-24
Combine -2x and -6x to get -8x.
-8x=-24+8
Add 8 to both sides.
-8x=-16
Add -24 and 8 to get -16.
x=\frac{-16}{-8}
Divide both sides by -8.
x=2
Divide -16 by -8 to get 2.
y=5\times 2-4
Consider the second equation. Insert the known values of variables into the equation.
y=10-4
Multiply 5 and 2 to get 10.
y=6
Subtract 4 from 10 to get 6.
z=6
Consider the third equation. Insert the known values of variables into the equation.
x=2 y=6 z=6
The system is now solved.
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