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Solve using augmented matrices.(_____, _____)
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Q. Solve using augmented matrices.(_____, _____)
- Write Equations as Matrix: Write the system of equations as an augmented matrix.
- Modify Second Equation: Since the first equation is already solved for , we can use it to modify the second equation.Subtract times the first row from the second row to eliminate the -term.New second row:
- Replace Second Row: Replace the second row with the new values.The augmented matrix now looks like this:\left[\begin{array}{ccc}\(\newline1 & 0 & 10 (\newline\)-1 & 10 & -90\end{array}\right]\)
- Add First Row: Add the first row to the second row to get the -term alone.New second row: [\(-1, , \] + [\(1, , \] = [\(0, , \]
- Divide Second Row: Divide the second row by to solve for . New second row:
- Final Solution: Now we have the second equation in the form of . So the solution to the system is .
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