Linear Combination Calculator

Enter the coefficients of x and y of two separate equations into the calculator. The linear combination calculator will solve for both x and y.

Linear Combination Formula

The following formula can be used to calculate the x and y values of two equations using linear combination.

ax + by = c

dx + ey = f

x =( c – by )/ a = (f -ey)/d

y = (f-dx)/e = (c-ax)/b

  • Where x and y are the coordinate points
  • a and b are coefficients in one equation
  • d and e are coefficients in the other equation
  • f and c are constants

FAQ

What is linear combination?

A linear combination is a mathematical process that involves two related equations. These equations are both in the form ax + by = c. Knowing the values of a, b, and c from both equations one can calculate the missing values of x and y that would solve those equations.

What are x and y coefficients?

The x and y coefficients are values that represent the change in true x and y values with respect to the equation or line the equation represents.

What is a slope?

A slope is the measure of vertical increase over the rise in horizontal increase of a line.

linear combination calculator

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