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QuestionMatch each expression to its value when x=8x=8 and y=3y=3: 12-y, 3x-y, 4y-10, 14xy\frac{1}{4}xy. Values: 2, 6, 9, 21.

Studdy Solution

STEP 1

Assumptions1. The value of xx is8. The value of yy is3

STEP 2

Let's start by evaluating the first expression 12−y12-y by substituting y=y=.
12−y=12−12-y =12-

STEP 3

Calculate the value of the first expression.
12−y=12−3=912-y =12-3 =9

STEP 4

Now, evaluate the second expression 3x−y3x-y by substituting x=8x=8 and y=3y=3.
3x−y=3∗8−33x-y =3*8-3

STEP 5

Calculate the value of the second expression.
3x−y=3∗8−3=213x-y =3*8-3 =21

STEP 6

Next, evaluate the third expression 4y−104y-10 by substituting y=3y=3.
4y−10=4∗3−104y-10 =4*3-10

STEP 7

Calculate the value of the third expression.
4y−10=4∗3−10=24y-10 =4*3-10 =2

STEP 8

Finally, evaluate the fourth expression 14xy\frac{1}{4}xy by substituting x=8x=8 and y=3y=3.
14xy=14∗8∗3\frac{1}{4}xy = \frac{1}{4}*8*3

STEP 9

Calculate the value of the fourth expression.
4xy=4∗8∗3=6\frac{}{4}xy = \frac{}{4}*8*3 =6

STEP 10

Now, match each expression to its value.
. 12−y=912-y =9
2. 3x−y=213x-y =21
3. 4y−10=24y-10 =2
4. 4xy=6\frac{}{4}xy =6
So, the correct matches are. 12−y12-y matches with 99
2. 3x−y3x-y matches with 2121
3. 4y−104y-10 matches with 22
4. 4xy\frac{}{4}xy matches with 66

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