The tool "Goal Seek" is used in a situation when the result is known but arguments are unknown.

## Matrices in Excel

Given below is spreadsheet from an experiment in which the weight was recorded each time after an addition of 1 milliliter of water from a burette to a beaker. This is a 3 by 3 matrix because it has three rows and three columns An m by n matrix has m rows and n columns.

Classically, we would solve equation 1 for x and apply that to equation 2 and find the answer.

Weight of water per milliliter. In this example, slope gives the density of water. For clarity, the free terms will be selected by flood filling.

The experiment was conducted in triplicate.

## Solution of Linear Systems of Equations (Cramer's Rule) in EXCEL

Systems of three equations and three unknowns, x , y, and z, can be dealt in the same way. Set the maximum number of iterations and the relative error on the "Formulas" tab. For example, we wish to find the values of x and y of the following system equations 1 and 2.

Therefore, the function will have the opposite sign: We get the roots of the equations:. Then we enter the formula to calculate the current value of x in an adjacent cell B1:.

E8 Formula: The program uses a cyclic process to find a parameter. However, this procedure becomes too difficult when there are many equations and many unknowns.

It is matrix of order 3 since it has three rows and three columns. Set a checkmark in the box to enable iterative calculations. There is only a single root in the given interval. Download solving equations in Excel.