Finite Math Examples

$y = 3 \sqrt{x}$ , $x = 4$ , $x = 9$

Step 1

Replace all occurrences of $x$ with $4$ in each equation.

Tap for more steps...

Step 1.1

Replace all occurrences of $x$ in $y = 3 \sqrt{x}$ with $4$ .

$y = 3 \sqrt{4}$

$x = 4$

$x = 9$

Step 1.2

Simplify $y = 3 \sqrt{4}$ .

Tap for more steps...

Step 1.2.1

Simplify the left side.

Tap for more steps...

Step 1.2.1.1

Remove parentheses.

$y = 3 \sqrt{4}$

$x = 4$

$x = 9$

$y = 3 \sqrt{4}$

$x = 4$

$x = 9$

Step 1.2.2

Simplify the right side.

Tap for more steps...

Step 1.2.2.1

Simplify $3 \sqrt{4}$ .

Tap for more steps...

Step 1.2.2.1.1

Rewrite $4$ as $2^{2}$ .

$y = 3 \sqrt{2^{2}}$

$x = 4$

$x = 9$

Step 1.2.2.1.2

Pull terms out from under the radical, assuming positive real numbers.

$y = 3 \cdot 2$

$x = 4$

$x = 9$

Step 1.2.2.1.3

Multiply $3$ by $2$ .

$y = 6$

$x = 4$

$x = 9$

$y = 6$

$x = 4$

$x = 9$

$y = 6$

$x = 4$

$x = 9$

$y = 6$

$x = 4$

$x = 9$

$y = 6$

$x = 4$

$x = 9$

Step 2

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(4, 6)$

Step 3

The result can be shown in multiple forms.

Point Form:

$(4, 6)$

Equation Form:

$x = 4, y = 6$

Step 4