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Does the point $(1, 8)$ satisfy the equation $y = 2x$ ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does (x, y) satisfy the linear equation?

Full solution

Q. Does the point

(1, 8)

satisfy the equation

y = 2x

?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Identify Coordinates: Identify the values of $x$ and $y$ in the point $(1,8)$ . The point $(1,8)$ gives us $x = 1$ and $y = 8$ .
Substitute Values: Substitute the values of $x$ and $y$ into the equation $y = 2x$ . $\newline$ Substitute $1$ for $x$ and $8$ for $y$ in the equation $y = 2x$ . $\newline$ Equation after substitution: $8 = 2(1)$
Perform Multiplication: Perform the multiplication on the right side of the equation. $\newline$ Calculate $2(1)$ to get $2$ . $\newline$ Equation after calculation: $8 = 2$
Check Equation: Determine if the equation $8 = 2$ is true. $\newline$ Since $8$ is not equal to $2$ , the equation $8 = 2$ is not true. $\newline$ Therefore, the point $(1, 8)$ does not satisfy the equation $y = 2x$ .

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