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The sum of two numbers is 35. Their difference is 11. What are the two numbers?

That's it......hope someone can help on these....have done 40 problems already....brain dead

2007-08-17 09:20:54 · 9 answers · asked by Robert S 1 in Science & Mathematics Mathematics

9 answers

Question 1
4x = 10 y + 11
x = (10 / 4) y + 11 / 4
x = (5 / 2) y + 11 / 4

Question 2
Let numbers be x and y
x + y = 35
x - y = 11-----ADD
2x = 46
x = 23
y = 12

2007-08-17 10:39:09 · answer #1 · answered by Como 7 · 3 0

To rewrite this equation as a function of x, you've got the flexibility to desire to settle on for y (get y all on my own on one area of the equation). to attempt this subtract 4x from the two aspects. that provides you -10y = 11 - 4x. Then divide the two aspects by using ability of -10. this could grant y = -11/10 + 4/10, or in case you rearrange it, y = 2/5 - 11/10, so C. want this helps!

2016-12-15 18:11:26 · answer #2 · answered by schebel 4 · 0 0

4x = 11 + 10y
x = (11 + 10y) / 4


x + y = 35 and x - y = 11

x = 35 - y in the first equation
substitute for x in the second equation
(35 - y) - y = 11
35 - 2y = 11
-2y = -24
y = 12

substitte 12 for y:
x + 12 = 35
x = 23

now check by plugging the number for both equations:
x + y = 35
23 + 12 = 35 CHECK
x - y = 11
23 - 12 = 11 CHECK

2007-08-17 09:28:57 · answer #3 · answered by Justin M 4 · 0 0

"as the function of x" means x is the independent variable, and you need to solve for y

4x - 10y = 11
-10y = -4x + 11
y = (2/5)x - 11/10


let x and y be the two numbers
x + y = 35
x - y = 11

add the two equations
2x = 46
x = 23

23 + y = 35
y = 12

so the two numbers are 23 an 12

2007-08-17 09:28:49 · answer #4 · answered by      7 · 0 0

F(X)=(10Y+11)/4

X+Y=35
X-Y=11 add
2X=46
X=23 Y=12
CHECK X-Y=11

2007-08-17 10:05:37 · answer #5 · answered by verner66 2 · 0 0

When we write something as a function of x, what we are trying to do is get y by itself. We use the notation f(x), which literally means the function of x.
So...
4x - 10y = 11
-10y = 11 - 4x
y = -11/10 + (4/10)x
f(x) = (4/10)x - (11/10)

--------------------------------------------------------
Add these two equations together, and the y will cancel out...
x + y = 35
x - y = 11
2x = 46
x = 13
Put this back into either equation...
13 + y = 35
y = 12

2007-08-17 09:39:27 · answer #6 · answered by JO 3 · 0 0

you should do your own homework.

"function of x" = f(x) = y
so solving for y

f(x)=(4x-11)/10

x + y = 35
x - y = 11

you can directly add the two so
2x = 46
x = 23

and by substitution
23 + y = 35
y = 12

2007-08-17 09:28:23 · answer #7 · answered by Controlfreak38 6 · 0 1

f(x)=-11+4x/10


x+y=35
x-y=11

x=11+y

(11+y)+y=35
11+2y=35
2y=24
y=12

x+12=35
x=23

The numbers are 12 and 23.

2007-08-17 09:27:11 · answer #8 · answered by de4th 4 · 2 1

4x=11+10y
x=(11+10y)/4(this is function of x)

x+y=35
x-y=11
-------------
2x=46
x=23
therefore y=12
got it!!!!!

2007-08-17 09:28:22 · answer #9 · answered by Anonymous · 0 2

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