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Chapter 6: Q21. (page 393)

Use an augmented matrix to solve each system of equations.

3x+5y=72x鈭�3y=11

Short Answer

Expert verified

The solution of the given system of equations is 4,鈭�1.

Step by step solution

01

Step 1. Write the augmented matrix for the given system of equations.

The given system of equations is:

3x+5y=72x鈭�3y=11

Place the coefficients of the equations and the constant terms into the matrix to form the augmented matrix for the given system of equations.

3572鈭�311

02

Step 2. Solve the given system of equations.

The augmented matrix is:

3572鈭�311

Apply R1鈫�13R1,

153732鈭�311

Apply R2鈫�R2鈭�2R1,

153730鈭�193193

Apply R2鈫�鈭�319R2,

1537301鈭�1

Apply R1鈫�R1鈭�53R2,

10401鈭�1

Therefore, the solution of the given system of equations is 4,鈭�1.

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