SOLUTION: If x = -2, y = 3, and z = 5, evaluate the following. (3z + y)(z + y)

Question 75764: If x = -2, y = 3, and z = 5, evaluate the following.
(3z + y)(z + y)

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given the expression: (3z + y)(z + y) and the values x = -2, y = 3, and z = 5
.
evaluate the expression for the given values of the variables.
.
This is a substitution or replacement problem. Just substitute the given values of x,
y, and z into the given expression. When you substitute -2 for x, 3 for y, and 5 for z,
the expression is transformed to:
.
((3*5) + 3)*(5 + 3)
.
Note that there is no substitution for x because x does not appear in the expression.
.
Do the multiplication in the first part of the expression. The 3*5 is equal to 15 so the
expression becomes:
.
(15 + 3)*(5 + 3)
.
Next do the additions inside each set of parentheses to get:
.
(18)*(8)
.
And now the multiplication is just 18 times 8 to give the answer of 144. That's it.
With the given substitutions the expression is evaluated and its value is 144.
.
Hope this helps you to understand the basics of what you do to evaluate an expression
if you are given values for each of the variables in the expression.
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