Determine if @POINT is a Solution y<6x-6

$y < 6 x - 6$

Insert the values of $x =$ and $y =$ into the equation to find if the ordered pair is a solution.

$y < 6 x - 6$

Rewrite so $x$ is on the left side of the inequality.

$6 x - 6 > y$

Add $6$ to both sides of the inequality.

$6 x > y + 6$

Divide each term in $6 x > y + 6$ by $6$ and simplify.

Divide each term in $6 x > y + 6$ by $6$ .

$\frac{6 x}{6} > \frac{y}{6} + \frac{6}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} > \frac{y}{6} + \frac{6}{6}$

Divide $x$ by $1$ .

$x > \frac{y}{6} + \frac{6}{6}$

Simplify the right side.

Divide $6$ by $6$ .

$x > \frac{y}{6} + 1$

Since the equation is not true when the values are used, the ordered pair is not a solution.

The ordered pair is not a solution to the equation.