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Is $(2, 2)$ a solution to the equation $y = 2x$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Is (x, y) a solution to the linear equation?

Full solution

Q. Is

(2, 2)

a solution to the equation

y = 2x

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Understand Solution Criteria: Understand what it means for a point to be a solution to an equation. $\newline$ A point is a solution to an equation if, when the $x$ and $y$ values of the point are substituted into the equation, the equation is true.
Substitute Values into Equation: Substitute the $x$ and $y$ values of the point $(2, 2)$ into the equation $y = 2x$ . $\newline$ Substitute $x = 2$ and $y = 2$ into the equation to see if it holds true. $\newline$ $2 = 2 \times 2$
Perform Multiplication: Perform the multiplication on the right side of the equation. $2 \times 2 = 4$
Compare Result with Y-value: Compare the result of the multiplication with the y-value of the point. Since $2$ does not equal $4$ , the point $(2, 2)$ does not satisfy the equation $y = 2x$ .
Conclude Solution Status: Conclude whether the point $(2, 2)$ is a solution to the equation. $\newline$ Since the equation does not hold true when we substitute $(2, 2)$ into it, the point $(2, 2)$ is not a solution to the equation $y = 2x$ .

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