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Does the point $(0, 4)$ satisfy the equation $y = x$ $?$

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Does (x, y) satisfy the linear equation?

Full solution

Q. Does the point

(0, 4)

satisfy the equation

y = x

?

Identify values of $x$ and $y$ : Identify the values of $x$ and $y$ in the point $(0,4)$ . The point $(0,4)$ gives us $x = 0$ and $y = 4$ .
Substitute values into equation: Substitute the values of $x$ and $y$ into the equation $y = x$ . $\newline$ Substituting $x = 0$ into the equation $y = x$ gives us $y = 0$ . $\newline$ However, we know that $y$ is given as $4$ from the point $(0,4)$ .
Compare substituted value with actual: Compare the substituted value of $y$ with the actual $y$ value from the point. $\newline$ Since $y$ from the equation is $0$ after substitution, and $y$ from the point is $4$ , we see that $0 \neq 4$ .

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