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Carlos is five years older than twice his sister's age. carlos is 13.which equation and solution correctly identifies his sister's age?2x - 5 = 13; x = 92x 5 = 13; x = 42x - 5 = 13; x = 42x 5 = 13; x = 9

Respuesta :

apologiabiology
c=carlo=13
x=sister


carlos (13) is (=) 5 years older (5+) twice sisters age (2 times x)
13=5+2x
mius 5 both sides
13-5=5-5+2x
8=0+2x
8=2x
divide both sides by 2
4=x

2x+5=13
x=4

Answer:

[tex]2x+5=13[/tex]

x=4

Step-by-step explanation:

Carlos is five years older than twice his sister's age. carlos is 13.

Let x represents the sister's age

Carlos age = twice of sisters age plus 5 years

twice of sister's age means 2 times sister's age

Carlos age = [tex]2x+5[/tex]

Now Carlos age is 13

So the equation is [tex]13= 2x+5[/tex]

Now we solve for x to find the solution

[tex]2x+5=13[/tex]

Subtract 5 from both sides

[tex]2x=8[/tex]

Divide both sides by 2

[tex]x=4[/tex]

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