Finite Math Examples

$(4, 3)$ , $3 x + y = 15$ , $4 x + 3 y = 25$

Step 1

Simplify $3 (4) + 3$ .

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Step 1.1

Multiply $3$ by $4$ .

$12 + 3 = 15$

$4 (4) + 3 (3) = 25$

Step 1.2

Add $12$ and $3$ .

$15 = 15$

$4 (4) + 3 (3) = 25$

$15 = 15$

$4 (4) + 3 (3) = 25$

Step 2

Since $15 = 15$ , the equation will always be true.

Always true

$4 (4) + 3 (3) = 25$

Step 3

Simplify $4 (4) + 3 (3)$ .

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply $4$ by $4$ .

$16 + 3 (3) = 25$

Always true

Step 3.1.2

Multiply $3$ by $3$ .

$16 + 9 = 25$

Always true

$16 + 9 = 25$

Always true

Step 3.2

Add $16$ and $9$ .

$25 = 25$

Always true

$25 = 25$

Always true

Step 4

Since $25 = 25$ , the equation will always be true.

Always true

Step 5

The ordered pair is a solution to the system of equations.

$(4, 3)$ is a solution