Finite Math Examples

$x + y = 15$ , $3 x - 2 x = 25$

Step 1

Replace all occurrences of $x$ with $25$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $x + y = 15$ with $25$ .

$(25) + y = 15$

$x = 25$

Step 1.2

Simplify the left side.

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Step 1.2.1

Remove parentheses.

$25 + y = 15$

$x = 25$

$25 + y = 15$

$x = 25$

$25 + y = 15$

$x = 25$

Step 2

Move all terms not containing $y$ to the right side of the equation.

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Step 2.1

Subtract $25$ from both sides of the equation.

$y = 15 - 25$

$x = 25$

Step 2.2

Subtract $25$ from $15$ .

$y = - 10$

$x = 25$

$y = - 10$

$x = 25$

Step 3

Solve the system of equations.

$y = - 10 x = 25$

Step 4

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

$(25, - 10)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(25, - 10)$

Equation Form:

$x = 25, y = - 10$

Step 6