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Does the point $(7, 6)$ satisfy the equation $y = x + 1$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the linear equation?

Full solution

Q. Does the point

(7, 6)

satisfy the equation

y = x + 1

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Identify values of x and y: Identify the values of $x$ and $y$ in the point $(7,6)$ . $\newline$ The point $(7,6)$ has $x = 7$ and $y = 6$ .
Substitute values into equation: Substitute the values of $x$ and $y$ into the equation $y = x + 1$ . $\newline$ Substitute $7$ for $x$ and $6$ for $y$ in the equation $y = x + 1$ . $\newline$ Equation after substitution: $6 = 7 + 1$ .
Simplify and check equation: Simplify the right side of the equation and check if the equation is true. $\newline$ Simplify $7 + 1$ to get $8$ . $\newline$ Equation: $6 = 8$ . $\newline$ Check if the left side is equal to the right side.
Determine point satisfaction: Determine if the point $(7, 6)$ satisfies the equation $y = x + 1$ . $\newline$ Since $6$ is not equal to $8$ , the point $(7, 6)$ does not satisfy the equation $y = x + 1$ .

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