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Is $(3, 9)$ a solution to the equation $y = x + 6$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the linear equation?

Full solution

Q. Is

(3, 9)

a solution to the equation

y = x + 6

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Identify values of x and y: Identify the values of x and y in the point $(3,9)$ . $\newline$ The point $(3,9)$ gives us $x = 3$ and $y = 9$ .
Substitute values into equation: Substitute the values of $x$ and $y$ into the equation $y = x + 6$ . Substitute $3$ for $x$ and $9$ for $y$ to see if the equation holds true. Equation with substitution: $9 = 3 + 6$
Perform calculation: Perform the calculation on the right side of the equation. $\newline$ Calculate $3 + 6$ to see if it equals $9$ . $\newline$ Calculation: $3 + 6 = 9$
Compare result with y value: Compare the result of the calculation with the y value. $\newline$ Since $9 = 9$ is a true statement, the point $(3, 9)$ satisfies the equation $y = x + 6$ .

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