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Does $(3, 1)$ make the equation $y = x + 2$ true? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does (x, y) satisfy the linear equation?

Full solution

Q. Does

(3, 1)

make the equation

y = x + 2

true?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Identify values: Identify the values of $x$ and $y$ in the point $(3,1)$ . We have $x = 3$ and $y = 1$ .
Substitute values: Substitute the values of $x$ and $y$ into the equation $y = x + 2$ . $\newline$ Substitute $3$ for $x$ and $1$ for $y$ to see if the equation holds true. $\newline$ Equation after substitution: $1 = 3 + 2$
Perform addition: Perform the addition on the right side of the equation. $\newline$ Calculate $3 + 2$ to get $5$ . $\newline$ Equation after calculation: $1 = 5$
Determine equation: Determine if the equation $1 = 5$ is true. $\newline$ Since $1$ is not equal to $5$ , the equation $1 = 5$ is not true. $\newline$ Therefore, the point $(3, 1)$ does not satisfy the equation $y = x + 2$ .

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