# Worksheet: Solving a System of Two Equations Using Matrices

In this worksheet, we will practice using matrices to solve a system of two linear equations.

Q1:

Express the given simultaneous equations as a matrix equation.

• A
• B
• C
• D
• E

Q2:

Use matrices to solve the following system of equations.

• A
• B
• C
• D
• E

Q3:

Use matrices to solve the system

• A ,
• B ,
• C ,
• D ,
• E ,

Q4:

Express the given simultaneous equations as a matrix equation.

• A
• B
• C
• D
• E

Q5:

Express the given simultaneous equations as a matrix equation.

• A
• B
• C
• D
• E

Q6:

Express the given simultaneous equations as a matrix equation.

• A
• B
• C
• D
• E

Q7:

Express the given simultaneous equations as a matrix equation.

• A
• B
• C
• D
• E

Write down the inverse of the coefficient matrix.

• A
• B
• C
• D
• E

Multiply through by the inverse, on the left-hand side, to solve the matrix equation.

• A
• B
• C
• D
• E

Q8:

Use matrices to solve the following system of equations.

• A
• B
• C
• D
• E

Q9:

Use matrices to solve the following system of equations.

• A
• B
• C
• D
• E

Q10:

Use matrices to solve the following system of equations.

• A
• B
• C
• D
• E

Q11:

Use matrices to solve the system

• A ,
• B ,
• C ,
• D ,
• E ,

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