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Is $(0, 4)$ a solution to the equation $y = 6x$ ? $\newline$ 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, 4)

a solution to the equation

y = 6x

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Understand Solution to Equation: 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 $(0, 4)$ into the equation $y = 6x$ . $\newline$ Substitute $x = 0$ and $y = 4$ into the equation to see if it holds true. $\newline$ $y = 6x$ becomes $4 = 6(0)$ .
Perform Multiplication: Perform the multiplication on the right side of the equation. $\newline$ $6 \times 0 = 0$ . $\newline$ So, the equation becomes $4 = 0$ .
Compare Results: Compare the results. $\newline$ Since $4$ does not equal $0$ , the point $(0, 4)$ does not satisfy the equation $y = 6x$ .

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\newline

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\newline

\newline

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\newline

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