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Answer:
x = -2y + z
y = -1/2x + 1/2z
z = x + 2y
Step-by-step explanation:
x:
First, isolate the variable you want to solve for:
To isolate x, add the inverses of y and z to both sides of the equation.
2x + 4y - 2z = 0
2x - 2z = -4y
2x = -4y + 2z
To find x, divide both sides by 2:
2x = -4y + 2z
x = -2y + z
y:
First, isolate the variable you want to solve for:
To isolate y, add the inverses of x and z to both sides of the equation.
2x + 4y - 2z = 0
4y - 2z = -2x
4y = -2x + 2z
To find y, divide both sides by 4:
4y = -2x + 2z
y = -1/2x + 1/2z
z:
First, isolate the variable you want to solve for:
To isolate z, add the inverses of x and y to both sides of the equation.
2x + 4y - 2z = 0
4y - 2z = -2x
-2z = -2x - 4y
To find z, divide both sides by -2:
-2z = -2x - 4y
z = x + 2y