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Is $(2, 5)$ a solution to the equation $y = 9x$ ? $\newline$ 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, 5)

a solution to the equation

y = 9x

?

\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 we substitute the $x$ and $y$ values from the point into the equation, the equation holds true.
Substitute Values: Substitute the $x$ and $y$ values from the point $(2, 5)$ into the equation $y = 9x$ . $\newline$ Substitute $x = 2$ into the equation to find the expected $y$ value. $\newline$ Expected $y$ value = $9 \times 2 = 18$
Compare Y Values: Compare the expected $y$ value from the equation with the $y$ value from the point. $\newline$ The $y$ value from the point is $5$ , but the expected $y$ value from the equation when $x = 2$ is $18$ . $\newline$ Since $5$ does not equal $18$ , the point $(2, 5)$ is not a solution to the equation $y$ $0$ .

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