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If x=2y, then which of the following is equivalent to 2y+2?
A) (x)/(2)+2
B) x+2
C) 2x+2
D) 4x+2

If $x=2y$ , then which of the following is equivalent to $2y+2$ $?$ $\newline$ A) $\frac{x}{2}+2$ $\newline$ B) $x+2$ $\newline$ C) $2x+2$ $\newline$ D) $4x+2$

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Evaluate expression when a complex numbers and a variable term is given

Full solution

Q. If

x=2y

, then which of the following is equivalent to

2y+2

?

\newline

A)

\frac{x}{2}+2

\newline

B)

x+2

\newline

C)

2x+2

\newline

D)

4x+2

Replace $y$ with $\frac{x}{2}$ : Given $x=2y$ , so replace $y$ with $\frac{x}{2}$ in the expression $2y+2$ . $\newline$ $2y+2 = 2\left(\frac{x}{2}\right)+2$
Simplify expression: Simplify the expression. $2\left(\frac{x}{2}\right)+2 = x+2$
Compare with options: Compare the simplified expression with the options. $x+2$ matches option B.

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