1.02 Literal Equations:

2. In the following equation, a, b, and c are constants and y is the variable. Solve the equation for y. Show each step.
aby-b=c

Answer:

The value of y is [tex]y=\frac{c+b}{ab}[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]aby-b=c[/tex]

It is given that a, b, and c are constants and y is the variable.

We need to solve the equation for y.

First add b to the both side.

[tex]aby-b+b=c+b[/tex]

[tex]aby=c+b[/tex]

Now isolate the variable.

Divide both sides by ab.

[tex]\frac{aby}{ab}=\frac{c+b}{ab}[/tex]

[tex]y=\frac{c+b}{ab}[/tex]

Hence, the value of y is [tex]y=\frac{c+b}{ab}[/tex].