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Does $(2, 6)$ make the equation $y = x$ true? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does (x, y) satisfy the linear equation?

Full solution

Q. Does

(2, 6)

make the equation

y = x

true?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Identify values of x and y: Identify the values of $x$ and $y$ in the point $(2,6)$ . We have $x = 2$ and $y = 6$ .
Substitute values into equation: Substitute the values of $x$ and $y$ into the equation $y = x$ . $\newline$ Substitute $2$ for $x$ and $6$ for $y$ in $y = x$ . $\newline$ Equation after substitution: $6 = 2$
Check substituted equation: Check if the substituted equation $6 = 2$ is true. $\newline$ Since $6$ is not equal to $2$ , the statement $6 = 2$ is false. $\newline$ Therefore, the point $(2, 6)$ does not satisfy the equation $y = x$ .

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