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Is $(0, 3)$ 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, 3)

a solution to the equation

y = 6x

?

\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 satisfied (both sides are equal).
Substitute Values: Substitute the $x$ and $y$ values of the point $(0, 3)$ into the equation $y = 6x$ . $\newline$ Substitute $x = 0$ and $y = 3$ into the equation to see if it holds true. $\newline$ $3 = 6 \times 0$
Perform Multiplication: Perform the multiplication on the right side of the equation. $6 \times 0 = 0$
Compare Results: Compare the results of the substitution to the original equation. $\newline$ After substitution and calculation, we have $3 = 0$ , which is not true.
Determine Solution Status: Determine if the point $(0, 3)$ is a solution to the equation. $\newline$ Since $3$ does not equal $0$ , the point $(0, 3)$ is not a solution to the equation $y = 6x$ .

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