Final answer:
The value of the expression 6x - y when x equals 3 and y equals 2 is 16. To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.11
Step-by-step explanation:
The student is asking for the value of the expression 6x - y when x equals 3 and y equals 2. To find the value of this expression, we need to substitute 3 for x and 2 for y, and then perform the subtraction as follows:
- Replace x with 3 in the expression, which gives us 6 * 3 - y.
- Replace y with 2 in the expression, which gives us 6 * 3 - 2.
- Now, perform the multiplication and subtraction: 6 * 3 = 18 and then 18 - 2 = 16.
The value of the expression 6x - y when x equals 3 and y equals 2 is 16.
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
An algebraic expression is a mathematical phrase that includes variables, constants, coefficients, and algebraic operations. For example, 5x2+6xy−c
is an algebraic expression. Unlike algebraic equations, algebraic expressions do not have equal signs.