Khloe is thinking of a number that is 2 times the value of carl's number. khloe's number is also 2 more than 4 times the value of carl's number. what is khloe's number? write and solve a system of equations to answer the question a. 4 b. –1 c. –2 d. 2

Let us assume the value of Carl's number = c and

value of Khloe's number = k.

Khloe's number is 2 times the value of Carl's number.

Two times of c could be written as 2c.

We can setup first eqation now,

k = 2c                           equation(1).

Khloe's number is also 2 more than 4 times the value of Carl's number.

2 more than 4 times of Carl's number could be represent, 4c+2.

So, we can setup another equation as,

k = 4c+2                                    equation(2).

So, we get system of equations,

k = 2c  and k = 4c+2 .

Subtracting equation(1) from equation(2).

k = 4c+2

-(k = 2c )

0 = 2c +2.

Subtracting 2 from both sides, we get

0-2 = 2c +2 -2

-2 = 2c

Dividing both sides by 2, we get

-2/2 = 2c/2

-1 =c.

Plugging c=-1 in first equation,

k=2(-1) = -2.

Therefore, Khloe's number is -2.

Option C) -2 is correct option.

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