Does the point (2, 5) satisfy the equation y = x 3? Choices: (A)yes (B)no

Identify values of x and y: Identify the values of x and y in the point (2,5). Compare (x,y) and (2,5). x = 2 y = 5Substitute values into equation: Substitute the values of x and y into the equation y = x + 3. Substitute 2 for x and 5 for y in y = x + 3. Equation after substitution: 5 = 2 + 3Perform addition on equation: Perform the addition on the right side of the equation. Calculate 2 + 3. 2 + 3 = 5 Equation: 5 = 5Determine equation truth: Determine if the equation 5 = 5 is true. Since both sides of the equation are equal, the statement is true. Therefore, the point (2, 5) does satisfy the equation y = x + 3.

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Does the point $(2, 5)$ satisfy the equation $y = x + 3$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Algebra 1

Does (x, y) satisfy the linear equation?

Full solution

Q. Does the point

(2, 5)

satisfy the equation

y = x + 3

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Identify values of $x$ and $y$ : Identify the values of $x$ and $y$ in the point $(2,5)$ . $\newline$ Compare $(x,y)$ and $(2,5)$ . $\newline$ $x = 2$ $\newline$ $y = 5$
Substitute values into equation: Substitute the values of $x$ and $y$ into the equation $y = x + 3$ . $\newline$ Substitute $2$ for $x$ and $5$ for $y$ in $y = x + 3$ . $\newline$ Equation after substitution: $5 = 2 + 3$
Perform addition on equation: Perform the addition on the right side of the equation. $\newline$ Calculate $2 + 3$ . $\newline$ $2 + 3 = 5$ $\newline$ Equation: $5 = 5$
Determine equation truth: Determine if the equation $5 = 5$ is true. $\newline$ Since both sides of the equation are equal, the statement is true. $\newline$ Therefore, the point $(2, 5)$ does satisfy the equation $y = x + 3$ .