QuestionCalculate $(2 x-12)+\left(\frac{1}{2} x y-10\right)$ for $x=8$ and $y=2$ . Choices: -10, 6, 2, -8.

Studdy Solution

STEP 1

Assumptions1. The expression given is $( x-12)+\left(\frac{1}{} x y-10\right)$ . The values of the variables are $x=8$ and $y=$

STEP 2

We need to substitute the given values of $x$ and $y$ into the expression. Let's start with the first part of the expression $(2x -12)$ .
$2x -12 =2*8 -12$

STEP 3

Now, calculate the value of the first part of the expression.
$2*8 -12 =16 -12$

STEP 4

implify the value of the first part of the expression.
$16 -12 =4$

STEP 5

Now, substitute the given values of $x$ and $y$ into the second part of the expression $\left(\frac{1}{2} x y-10\right)$ .
$\frac{1}{2} x y -10 = \frac{1}{2}82 -10$

STEP 6

Calculate the value of the second part of the expression.
$\frac{1}{2}82 -10 =8 -10$

STEP 7

implify the value of the second part of the expression.
$-10 = -2$

STEP 8

Now that we have the values of both parts of the expression, we can add them together to find the value of the entire expression.
$4 + (-2) =2$ So, the value of the expression $(2 x-12)+\left(\frac{1}{2} x y-10\right)$ for $x=8$ and $y=2$ is2.

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