Finite Math Examples

$x + y = 14$ , $4 x - y + 11$

Step 1

Subtract $y$ from both sides of the equation.

$x = 14 - y$

Step 2

Replace the variable $x$ with $14 - y$ in the expression.

$4 (14 - y) - y + 11$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$4 \cdot 14 + 4 (- y) - y + 11$

Step 3.2

Multiply $4$ by $14$ .

$56 + 4 (- y) - y + 11$

Step 3.3

Multiply $- 1$ by $4$ .

$56 - 4 y - y + 11$

Step 4

Simplify by adding terms.

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Step 4.1

Add $56$ and $11$ .

$- 4 y - y + 67$

Step 4.2

Subtract $y$ from $- 4 y$ .

$- 5 y + 67$