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Does $\newline$ $(8,2)$ make the equation $\newline$ $y=4x$ true? $\newline$ yes $\newline$ no

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

Full solution

Q. Does

\newline

(8,2)

make the equation

\newline

y=4x

true?

\newline

yes

\newline

no

Identify Given Point and Equation: Identify the given point and the equation. $\newline$ The given point is $(8,2)$ , and the equation is $y=4x$ . $\newline$ We need to check if the point satisfies the equation by plugging the $x$ -value from the point into the equation and seeing if the resulting $y$ -value matches the $y$ -value from the point.
Substitute X-Value: Substitute the $x$ -value from the point into the equation. $\newline$ The $x$ -value from the point is $8$ . Substitute it into the equation $y=4x$ to get $y=4(8)$ .
Perform Multiplication: Perform the multiplication to find the expected $y$ -value. $\newline$ Calculating $y=4(8)$ gives us $y=32$ .
Compare Y-Values: Compare the calculated $y$ -value with the $y$ -value from the point. $\newline$ The calculated $y$ -value is $32$ , but the $y$ -value from the point is $2$ . Since $32$ does not equal $2$ , the point $(8,2)$ does not satisfy the equation $y=4x$ .

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