Question

If x= 3, y = -12 and z = 8, how do you evaluate \[{{y}^{2}}\div \left( 3z \right)+2x\] ?

Answer 1

Hint:In the given question, we have been asked to find the value of an expression and the value of the variables are given in the question. In order to solve the question, first we will need to substitute the values of ‘x’, ‘y’ and ‘z’ in the given expression. Later using mathematical operation, we will solve the given expression.

Complete step by step answer:
We have given that,
x= 3, y = -12 and z = 8.
We have a given expression, i.e.
\[\Rightarrow {{y}^{2}}\div \left( 3z \right)+2x\]
The above expression can be expressed as follows,
\[\Rightarrow \dfrac{{{y}^{2}}}{3z}+2x\]
Putting the values of x= 3, y = -12 and z = 8 in the above expression, we will obtained
\[\Rightarrow \dfrac{{{\left( -12 \right)}^{2}}}{3\left( 8 \right)}+2\left( 3 \right)\]
Simplifying the brackets in the above expression, we will get
\[\Rightarrow \dfrac{144}{24}+6\]
Dividing the above fraction in the given expression, we will get
\[\Rightarrow 6+6\]
Adding both the numbers we will get
\[\Rightarrow 12\]
Therefore,
When the value of x = 3, y = -12 and z = 8,
Then the answer of the given expression is;
\[\therefore {{y}^{2}}\div \left( 3z \right)+2x=12\]

Hence, the value of \[{{y}^{2}}\div \left( 3z \right)+2x\] is $12$.

Note:While solving these types of questions, students should always do the calculation part very careful to avoid making any type of error and mistakes. In these types of question where you have given an expression in the question and also the corresponding values of those variables are given and you have been asked to evaluate the expression, then students just need to substitute the values of the variables and solve the expression using the mathematical expression i.e. addition, subtraction, multiplication and division.