Algebra Examples

x - 3 y > 6

$x - 3 y > 6$ ,

(3, - 1)

$(3, - 1)$

Step 1

Insert the values of

x = 3

$x = 3$ and

y = - 1

$y = - 1$ into the equation to find if the ordered pair is a solution.

(3) - 3 \cdot - 1 > 6

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

Step 2

Simplify

(3) - 3 \cdot - 1

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

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Step 2.1

Multiply

- 3

$- 3$ by

- 1

$- 1$ .

3 + 3 > 6

$3 + 3 > 6$

Step 2.2

Add

3

$3$ and

3

$3$ .

6 > 6

$6 > 6$

6 > 6

$6 > 6$

Step 3

The inequality is never true.

No solution

Step 4

Identify the leading coefficient.

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Step 4.1

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

0

$0$

Step 4.2

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

0

$0$

0

$0$

Step 5

Since there are no real x-intercepts and the leading coefficient is positive, the parabola opens up and

0

$0$ is always greater than

0

$0$ .

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.