Respuesta :

x, y - the numbers
The sum of the two numbers is 9.
1+4=9
If one number is subtracted from the other, the
result is 3.
- 4=3
Solve the system of equations:
2+y
9
- I
= 3
2.1
+ =6
+y=9
6+4=9 1-6
4 =
- 3
The numbers are 6 and 3.
sarajeffries7

Answer:

one number = 3 ; other number = 6

(x = 3 ; y = 6)

Step-by-step explanation:

here is the written problem in an algebraic form:

(x is one number, y is the other number)

x = y - 3          {"if one number is 3 subtracted from the other..."}

x + y = 9         {"The sum of two numbers is 9"}

substitute [x = y-3] into [x + y =9]

x + y = 9 ;   {x = y - 3}

(y - 3) + y = 9  [substitute known x-value into equation]

y - 3 + y = 9

  + 3        + 3  [add 3 to isolate y]

2y = 12

÷2   ÷2           [divide by 2 to find y]

y = 6

Now, by plugging our y-value (6) into one of the equations:

x + y = 9

x + 6 = 9  [substitute the y-value, which we know is 6]

   -6    -6

x = 3    

so, one number is 3, and the other number is 6

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