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Does the point $(0, 2)$ satisfy the equation $y = 2x$ ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does (x, y) satisfy the linear equation?

Full solution

Q. Does the point

(0, 2)

satisfy the equation

y = 2x

?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Identify Values: Identify the values of $x$ and $y$ in the point $(0,2)$ . The point $(0,2)$ gives us $x = 0$ and $y = 2$ .
Substitute Equation: Substitute the values of $x$ and $y$ into the equation $y = 2x$ . $\newline$ Substitute $0$ for $x$ and $2$ for $y$ to see if the equation holds true. $\newline$ Equation after substitution: $2 = 2 \times 0$ .
Perform Multiplication: Perform the multiplication on the right side of the equation. $\newline$ Calculate $2 \times 0$ which equals $0$ . $\newline$ Equation after calculation: $2 = 0$ .
Determine Equation: Determine if the equation $2 = 0$ is true. $\newline$ Since $2$ is not equal to $0$ , the statement is false. $\newline$ Therefore, the point $(0, 2)$ does not satisfy the equation $y = 2x$ .

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