Finite Math Examples

$x = 45$ , $x + y = 140$

Step 1

Replace all occurrences of $x$ with $45$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $x + y = 140$ with $45$ .

$(45) + y = 140$

$x = 45$

Step 1.2

Simplify the left side.

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Step 1.2.1

Remove parentheses.

$45 + y = 140$

$x = 45$

$45 + y = 140$

$x = 45$

$45 + y = 140$

$x = 45$

Step 2

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

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Step 2.1

Subtract $45$ from both sides of the equation.

$y = 140 - 45$

$x = 45$

Step 2.2

Subtract $45$ from $140$ .

$y = 95$

$x = 45$

$y = 95$

$x = 45$

Step 3

Solve the system of equations.

$y = 95 x = 45$

Step 4

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

$(45, 95)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(45, 95)$

Equation Form:

$x = 45, y = 95$

Step 6