Question

Solve for $x$ in $ - 10 = xy + z$ ?

Answer 1

Hint: The given equation belongs to the literal equation. In this type of question we will separate the $x$ from the equation. First we will take all the variables on one side of the equation except the variable for which we want to calculate the value. In particular, we will take $z$ in the left hand side of the equation from the right hand side. For this we will add $ - z$ to both sides of the equation. Then we will divide both sides of the equation by $y$ and thus we will find the value of the variable $x$ .

Complete step by step answer:
The given equation is,
$ - 10 = xy + z$
Now add $ - z$ to both sides of the equation.
$ \Rightarrow - 10 + \left( { - z} \right) = xy + z + \left( { - z} \right)$
Solve the equation to find the value.
$ \Rightarrow - 10 - z = xy$

Now divide both sides of the equation by $y$ .
$ \Rightarrow \dfrac{{ - 10 - z}}{y} = \dfrac{{xy}}{y}$
Solve the equation to find the value of $x$ .
$ \Rightarrow x = \dfrac{{ - 10 - z}}{y}$

Therefore the value of the $x$ in the equation $ - 10 = xy + z$ is equal to $x = \dfrac{{ - 10 - z}}{y}$ .

Note: A literal equation is defined as equations which consist of the letters or in other word we can define literal equations as the equations which consist of more than one variable. Use the basic mathematical operations to solve the given literal equations.