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Is $(0, 0)$ a solution to the equation $y = 4x$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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

Full solution

Q. Is

(0, 0)

a solution to the equation

y = 4x

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $(0, 0)$ : To determine if the point $(0, 0)$ is a solution to the equation $y = 4x$ , we need to substitute the $x$ and $y$ values from the point into the equation and see if the equation holds true.
Substitute Values: Substitute $x = 0$ and $y = 0$ into the equation $y = 4x$ . This gives us $0 = 4(0)$ .
Calculate Result: Calculate the right side of the equation: $4(0) = 0$ .
Compare Sides: Compare the left side of the equation with the right side. Since both sides equal $0$ , the equation $0 = 0$ is true.
Conclusion: Since the equation holds true after substituting the point $(0, 0)$ , we can conclude that $(0, 0)$ is indeed a solution to the equation $y = 4x$ .

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