Aldebra question?

Question

The sum of two numbers is 33. Their difference is 9. What are the two numbers?

Answer 1

Rewrite the words into math symbols:

The sum of two numbers is 33:
x + y =33

Their difference is 9:
x - y = 9

You now have:
x + y = 33
x - y = 9

A way to solve is to add the two equations to each other:

(x+x) + (y-y) = 42
2x + 0 = 42

x = 21

Plug 21 in for x in the first equation to get y:
(21) + y = 33

y = 12
x = 21

Answer 2

1) x + y = 33 [The sum of two numbers is 33)

2) x - y = 9 [Their difference is 9]

There are different approaches you can take to solve a simple system of equations like this. The simplest one here is to take advantage of the sign of y in the two equations and merely add the 2 equations together.

x + y = 33
x - y = 9
-------------
2x + 0 = 42

or

2x = 42
x = 21

Plug this result into equation 1

21 + y = 33
y = 12

It is always a good idea, time permitting, to check your answers in the other equation

21 - 12 = 9
9 = 9

Answer 3

Let x and y = the 2 nos.
When x>y

x+y=33
x-y=9
(y+9)+y=33
2y+9=33
2y+9-9=33-9
2y=24
y=12
x=y+9=21

12 and 21

Answer 4

12 and 21

Answer 5

given: (1) x+y=33 (2) x-y=9
find x and y
solving for x in (2) we get x=y+9
substituting in (1) we get 2y+9=33
solving for y we get y=12
solving (2) for x we get x-12=9 therefore, x=21 qed

Answer 6

let two no be x and y
x+y=33
x-y=9
solving them by substitution:
substitute y from ist equation
y=33-x
put it into 2nd equation
x-(33-x)=9
x-33+x=9
2x=9+33
x=21
y=33-21
y=12
that is so easy question and u should do ur homework urself next time

Answer 7

x + y = 33
x - y = 9

2x = 42
x = 21

x + y = 33
21 + y = 33
y = 12

x = 21 and y = 12

The numbers are 21 and 12

Answer 8

X+Y = 33
X-Y = 9
Adding
2X = 42
Dividing by 2 on both sides
X = 21
which means Y = 12

Answer 9

x+(x+9)=33
2x=24
x=12
nos. = 12,21