the sum of the real number x and y is 11. their differences is 5. what is the value of xy?

Answer 1

x + y = 11- - - - - - - - - - Equation 1

x - y = 5- - - - - - - - - - - Equation 2
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2x + 0 = `16

2x = 16

2x/2 = 16/2

x = 8

The answer is x = 8

The solution set is { 8 }

Insert the x value into equation 1

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Solving for y Equatio 1

x + y = 11

9 + y = 11

9 + y - 9 = 11 - 9

y = 3

The answer is y = 3

The solution set is { 3 }

Insert the Y value into the equation 1

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Check for equation 1

x + y = 11

8 + 3 = 11

11 = 11

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Check for equation 2

x - y = 5

8 - 3 = 5

5 = 5

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The solution sie { 8 , 3 }

The value of x = 8

The value of y = 3

Answer 2

3 and 8

Answer 3

24

Answer 4

24

Answer 5

24

Answer 6

the answer is 24
the only two real numbers that add up to 11 with a difference of 5 are 3 and eight. 3 times 8 is 24!

Answer 7

6

Answer 8

x+y=11

first
x-y=5
x=5+y

include at top equation
(5+y)+y=11
5+2y=11
2y=11-5
2y=6
y=6/2
y=3

x+y=11
x+3=11
x=11-3
x=8

Second
y-x=5
y=5+x

include at top equation
x+(5+x)=11
5+2x=11
2x=11-5
2x=6
x=6/2
x=3

x+y=11
3+y=11
y=11-3
y=8

if x=8, y=3
if x=3, y=8

so the value of xy if you mean
x*y
=3*8=24
=8*3=24

Answer 9

properly, if their distinction is 5, x could be 3, y could be 8. the two them mutually is 11. does that answer ur question? then if u prefer to renowned thier vaule, it may be 3 x 8 = 24.

Answer 10

x + y = 11 ---- (1)
x - y = 5 ------ (2)
Subst. (1) - (2):
2y = 6
y = 3
Subst. y = 3 into (2):
x - 3 = 5
x = 8
thus, xy = 8 x 3 = 24