Algebra Examples

$x - 3 y > 6$ , $(3, - 1)$

Step 1

Insert the values of $x = 3$ and $y = - 1$ into the equation to find if the ordered pair is a solution.

$(3) - 3 \cdot - 1 > 6$

Step 2

Simplify $(3) - 3 \cdot - 1$ .

Tap for more steps...

Step 2.1

Multiply $- 3$ by $- 1$ .

$3 + 3 > 6$

Step 2.2

Add $3$ and $3$ .

$6 > 6$

Step 3

The inequality is never true.

No solution

Step 4

Identify the leading coefficient.

Tap for more steps...

Step 4.1

The leading term in a polynomial is the term with the highest degree.

$0$

Step 4.2

The leading coefficient in a polynomial is the coefficient of the leading term.

$0$

Step 5

Since there are no real x-intercepts and the leading coefficient is positive, the parabola opens up and $0$ is always greater than $0$ .

All real numbers

Step 6

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.