If {eq}\displaystyle 5 z + 4 y = z - 5 {/eq}, what is the value of {eq}\displaystyle -\dfrac 1 {2 y} {/eq}?


If {eq}\displaystyle 5 z + 4 y = z - 5 {/eq}, what is the value of {eq}\displaystyle -\dfrac 1 {2 y} {/eq}?

Solving an Equation for a Variable:

To solve an equation which has multiple variables for a variable, we just apply algebraic operations on both sides of the given equation to isolate the required variable.

Answer and Explanation: 1

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The given equation is,

$$5 z + 4 y = z - 5 \\ \text{Subtracting 5z from both sides}, \\ 4y = -5z+z-5 \\ 4y=-4z-5 \\ \text{Dividing both sides by...

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Manipulating Functions and Solving Equations for Different Variables


Chapter 8 / Lesson 6

Manipulating functions in order to solve equations for different variables is possible as long as certain rules are followed. Explore the unknowns of mathematics, how to manipulate functions, examples and rules of manipulation, and how to solve for different variables.

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