Solve 5x y-2z=28 - ScanMath

Evaluate

5 x y - 2 z = 28

Find \frac{\partial z}{\partial x} by taking the derivative of both sides with respect to x

\frac{\partial}{\partial x} (5 x y - 2 z) = \frac{\partial}{\partial x} (28)

Use differentiation rule \frac{\partial}{\partial x} (f (x) \pm g (x)) = \frac{\partial}{\partial x} (f (x)) \pm \frac{\partial}{\partial x} (g (x))

\frac{\partial}{\partial x} (5 x y) - \frac{\partial}{\partial x} (2 z) = \frac{\partial}{\partial x} (28)

Evaluate

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5 y - \frac{\partial}{\partial x} (2 z) = \frac{\partial}{\partial x} (28)

Evaluate

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5 y - 2 \frac{\partial z}{\partial x} = \frac{\partial}{\partial x} (28)

Find the partial derivative

5 y - 2 \frac{\partial z}{\partial x} = 0

Move the expression to the right-hand side and change its sign

- 2 \frac{\partial z}{\partial x} = 0 - 5 y

Removing 0 doesn't change the value,so remove it from the expression

- 2 \frac{\partial z}{\partial x} = - 5 y

Change the signs on both sides of the equation

2 \frac{\partial z}{\partial x} = 5 y

Divide both sides

\frac{2 \frac{\partial z}{\partial x}}{2} = \frac{5 y}{2}

Solution

\frac{\partial z}{\partial x} = \frac{5 y}{2}

Solve the equation