QuestionEvaluate $2x + 3y - z$ for $x=6$ , $y=8$ , and $z=3$ . What is the result?

Studdy Solution

STEP 1

Assumptions1. The algebraic expression is $x +3y - z$ . The values of the variables are $x=6$ , $y=8$ , and $z=3$

STEP 2

We need to substitute the given values of the variables into the algebraic expression. $Value\, of\, expression =2x +y - z$

STEP 3

Now, plug in the given values for $x$ , $y$ , and $z$ to calculate the value of the expression.
$Value\, of\, expression =2(6) +3(8) -3$

STEP 4

Perform the multiplication operations first, according to the order of operations (PEMDAS/BODMAS).
$Value\, of\, expression =12 +24 -3$

STEP 5

Finally, perform the addition and subtraction operations to find the value of the expression.
$Value\, of\, expression =12 +24 -3 =33$ The value of the expression $2x +3y - z$ when $x=$ , $y=8$ , and $z=3$ is33.

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