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satela [25.4K]
3 years ago
10

Igualacion. x-y=3. 2x-3y=4​

Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

x - y = 3

2x - 3y = 4

Igualación

Despejamos una de las incógnitas en cada ecuación e igualamos. (En este caso la x)

3y + 4

x = y + 3 x = ---------------

2

3y + 4

y + 3 = ---------------

2

2 (y + 3 ) = 3y + 4

2y + 6 = 3y + 4

se pasan las incógnitas a un lado y lo que cambia de lado se cambia de signo

3y - 2y = 6 - 4 ⇒ y = 2

sustituimos el valor de y en cualquiera de las dos para obtener el valor de x

x - 2 = 3 ⇒ x = 5

Solución

x = 5

y =2

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Step-by-step explanation:

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the ratio of the ages of two children is 2:3. If the younger child is 4 years old, how old is the other child
yKpoI14uk [10]
Answer:  The other child is "6 years old". 
________________________________________________
Explanation:
________________________________________________

Set up the ratio as a fraction: 

  →  " 2/3 = 4/x " ;  Solve for "x"  (the age; in "years", of the "other child") ;  

<u>Note</u>:  GIven the ratios of two children is: 2:3  ; and there is a younger child among the two children;  the number "2" would represent the "younger child; since there are 2 (two) children;  and there are 2 (two) numbers in the given ratios; and among the 2 (two) numbers given in the ratio  — which are:  "2" and "3" ;  the given number: "2" is LESS THAN the given number "3" ; 

As such:
____________________________________________________
 
  →   " 2/3 = 4/x " ;  Solve for "x" ;  

Cross-multiply; 

2x = 3*4 ; 

2x = 12 ;

Divide each side of the equation by "2" ; 
 to isolate "x" on one side of the equation; & to solve for "x" ; 

2x/2 = 12/2 ; 

to get:
_______________________________________________
" x = 6 "
_______________________________________________
Alternate method:
_______________________________________________

Set up the ratio:
_____________________________________________

   →  " 2/3 = 4/x " ;  Solve for "x" ;   

Recognize that:  "2/3 = 4/6" ;  and that:  "x = 6" ; 
______________________________________________
Alternate method:
______________________________________________
Set up the ratio:
_______________________________________________

   →  " 2/3 = 4/x " ;  Solve for "x" ;   

In the "numerator":  → " 2 * [what value?] = 4 ? "
   → To find that value:  " 4 ÷ 2 = "2 " . 

As such:  Multiply the given:  "3" in the "denominator" by "2" ; to get: 
_______________________________________________
"3 * 2 = "x" ;   ↔  " x = 6 " . 
_______________________________________________
Answer:  The other child is "6 years old". 
_______________________________________________
Check our answer: 

The given ratio:  2/3 =? 4/6 ?  Yes! 

{You can even check this using a calculator—if you wish.}.
_______________________________________________
5 0
4 years ago
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