Linear Combination Calculator

Calculate Linear Combination











Formula

To calculate the x and y values using linear combination:

\[ ax + by = c \] \[ dx + ey = f \]

Where:

What is Linear Combination?

A linear combination is a relationship between two equations in the form \(ax + by = c\). The two equations allow you to solve for the missing values of \(x\) and \(y\) if \(a\), \(b\), and \(c\) are known.

Example Calculation

Let's assume the following values:

Using the formula:

\[ x = \frac{6 - 3y}{2} = \frac{10 - 5y}{4} \] \[ y = \frac{10 - 4x}{5} = \frac{6 - 2x}{3} \]

Solving these equations will give you the values of \(x\) and \(y\).