1.) make sure your system of equations are in standard form and their variables are aligned.
2.) Take the coefficients in your first equation and place them in row 1 of the matrix. Take the coefficients in the second equation and place then in row 2 of the matrix. Draw a line to represent the equal signs and place the values of the equations in line with their correct equations.
*whenever you do a row operation, you must apply the operation to the entire row (past the line that represents the equal sign).
3.)multiply the 1st row by ⅛
* Now that we have a leading 1 in column 1 we can use this to apply a row operation to make 7 in row 2 column 1 a zero.
4.)add -7 times the 1st row to the 2nd row
* We now need to get a leading 1 in row 2 column 2
5.) multiply the 2nd row by 8/49
*Now that we have a leading 1 in row 2 column 2 we can apply an operation to make ⅛ a zero.
6.)add -1/8 times the 2nd row to the 1st row
*The leading 1 in column 1 represents x in our equations and our leading 1 in column 2 represents y.