+7 Solve for the variable \(x\) in terms \(y\) of \(z\) and :
\(xy+2x=(x-2y+z)/3\)
+617 Let's solve for x in terms of y and z:
1. Combine like terms with x:
xy + 2x - x = -2y + z/3
2. Simplify the equation:
(x + xy) - x = -2y + z/3
xy = -2y + z/3
3. Isolate x:
Divide both sides by y (assuming y ≠ 0). Note that if y = 0, there would be no solution for x, as the denominator would be zero.
Therefore, x = (-2y + z/3) / y
Simplified form: We can further simplify the expression by combining terms in the numerator:
x = (-6 + z) / (3y)
This form expresses x in terms of y and z.
