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Does $(2, 1)$ make the equation $y = 6x$ true? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Does (x, y) satisfy the linear equation?

Full solution

Q. Does

(2, 1)

make the equation

y = 6x

true?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Identify values of x and y: Step $1$ : Identify the values of $x$ and $y$ in the point $(2,1)$ . $\newline$ $x = 2$ $\newline$ $y = 1$
Substitute values into equation: Step $2$ : Substitute the values of $x$ and $y$ into the equation $y = 6x$ . $\newline$ Substitute $2$ for $x$ and $1$ for $y$ . $\newline$ Equation: $1 = 6 \times 2$
Calculate right side: Step $3$ : Calculate the right side of the equation. $\newline$ $6 \times 2 = 12$ $\newline$ Equation becomes: $1 = 12$
Check equation for truth: Step $4$ : Check if the equation $1 = 12$ is true. $\newline$ Since $1$ is not equal to $12$ , the equation is false.

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