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we use Microsoft Excel to solve a set of linear equations in this case we have five variables X 1 through X 5 and we have five equations as well what were going to do is put this into a form like ax equals B and then well find the solution by taking x a inverse on both sides and thats going to be a inverse times a thats going to be the identity matrix there so were just going to have x equals a inverse times B were going to do this in Excel so the first thing we need to do is put this left hand side right here into matrix form and the way we do that is just take the different entries okay and then we have X 1 X 2 X 3 X 4 and X 5 okay and then we just find the coefficient thats in front of the X 1 there heres one thats 3 so we have a 0 right here actually thats a 0 for X 3 3 there and then a 0 for the X 3 because this one is going to be multiplied by X 3 as we do our multiplication and then our right hand side is going to be 45 on down okay so lets go and put this in Excel I