The value of the given expression [tex]\frac{3}{2}y-3+\frac{5}{3}z[/tex] is 8 when y = 4 and z = 3.
This is obtained by substituting the values in the expressions.
What is an algebraic expression?
- An expression is the combination of variables, constants, and algebraic operations like addition, subtraction, multiplication, etc.
- Depending on the number of terms in an expression, they are classified into different types of expressions.
- Such as monomials, binomials, trinomials, polynomials, and so on.
- An expression must and should contain a variable otherwise it is said to be a constant.
How to evaluate an expression?
- Evaluating an expression involves substitution.
- A numerical value is placed in the place of the variable in the expression and calculated as per the operations in between the terms.
- Thus, the expressions get evaluated and become numerical values.
Evaluating the given expression:
The given expression is [tex]\frac{3}{2}y-3+\frac{5}{3}z[/tex].
There are three terms in the given expression. y, and z are the variables.
It is given that the variables hold y = 4 and z = 3
On substituting these values in the given expression,
⇒ [tex]\frac{3}{2}(4)-3+\frac{5}{3}(3)[/tex]
⇒ 6 - 3 + 5
⇒ 8
Therefore, the given expression is evaluated for the values y = 4 and z = 3 and its value is 8.
Learn more about evaluating expressions here:
https://brainly.com/question/4344214
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