Is (4, 9) a solution to the equation y = x + 5? Choices: (A)yes (B)no

Understand Solution Criteria: Understand what it means for a point to be a solution to an equation. A point is a solution to an equation if, when the x and y values of the point are substituted into the equation, the equation is satisfied (both sides are equal).Substitute x-value: Substitute the x-value of the point (4, 9) into the equation y = x + 5. Substitute x = 4 into the equation to find the expected y-value. Expected y-value = 4 + 5 = 9.Check y-value Match: Check if the y-value of the point (4, 9) matches the expected y-value from the equation. The y-value of the point is 9, which matches the expected y-value we calculated in Step 2.Conclude Solution Status: Conclude whether the point (4, 9) is a solution to the equation y = x + 5. Since the y-value of the point matches the expected y-value when the x-value is substituted into the equation, the point (4, 9) is indeed a solution to the equation y = x + 5.

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Is $(4, 9)$ a solution to the equation $y = x + 5$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Grade 8

Is (x, y) a solution to the linear equation?

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Q. Is

(4, 9)

a solution to the equation

y = x + 5

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Understand Solution Criteria: Understand what it means for a point to be a solution to an equation. $\newline$ A point is a solution to an equation if, when the $x$ and $y$ values of the point are substituted into the equation, the equation is satisfied (both sides are equal).
Substitute x-value: Substitute the $x$ -value of the point $(4, 9)$ into the equation $y = x + 5$ . $\newline$ Substitute $x = 4$ into the equation to find the expected $y$ -value. $\newline$ Expected $y$ -value = $4 + 5 = 9$ .
Check y-value Match: Check if the y-value of the point $(4, 9)$ matches the expected y-value from the equation. $\newline$ The y-value of the point is $9$ , which matches the expected y-value we calculated in Step $2$ .
Conclude Solution Status: Conclude whether the point $(4, 9)$ is a solution to the equation $y = x + 5$ . Since the $y$ -value of the point matches the expected $y$ -value when the $x$ -value is substituted into the equation, the point $(4, 9)$ is indeed a solution to the equation $y = x + 5$ .