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

Identify values of x and y: Identify the values of x and y in the point (7,6). 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. Substitute 7 for x and 6 for y in the equation y = x + 1. Equation after substitution: 6 = 7 + 1.Simplify and check equation: Simplify the right side of the equation and check if the equation is true. Simplify 7 + 1 to get 8. Equation: 6 = 8. 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. Since 6 is not equal to 8, the point (7, 6) does not satisfy the equation y = x + 1.

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Algebra 1

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 $y = x + 1$ .