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Is $(0, 7)$ a solution to the equation $y = 3x$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the linear equation?

Full solution

Q. Is

(0, 7)

a solution to the equation

y = 3x

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Identify values of $x$ and $y$ : Identify the values of $x$ and $y$ in the point $(0,7)$ . The point $(0,7)$ has $x = 0$ and $y = 7$ .
Substitute values into equation: Substitute the values of $x$ and $y$ into the equation $y = 3x$ . $\newline$ Substitute $0$ for $x$ and $7$ for $y$ in the equation $y = 3x$ . $\newline$ Equation after substitution: $7 = 3 \times 0$ .
Perform multiplication calculation: Perform the multiplication to see if the equation holds true. $\newline$ Calculate $3 \times 0$ which equals $0$ . $\newline$ Equation after calculation: $7 = 0$ .
Determine equation truth: Determine if the equation $7 = 0$ is true. $\newline$ Since $7$ is not equal to $0$ , the equation $7 = 0$ is not true. $\newline$ Therefore, the point $(0, 7)$ does not satisfy the equation $y = 3x$ .

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