Use the matrix tool to solve the system of equations. choose the correct ordered pair.3x + 5y = 42 6x + 5y = 54

Solutions  

In Matrix we use initially based on systems of linear equations.The matrix method is similar to the method of Elimination as but is a lot cleaner than the elimination method.Solving systems of equations by Matrix Method involves expressing the system of equations in form of a matrix and then reducing that matrix into what is known as Row Echelon Form. 

Calculations 

⇒ Rewrite the linear equations above as a matrix 

 

⇒  Apply to Row₂ : Row₂ - 2 Row₁ 

 

⇒ Simplify rows

 

Note: The matrix is now in echelon form.
The steps below are for back substitution. 

⇒ Apply to Row₁ : Row₁ - 5 Row₂ 

 

⇒ Simplify rows 

 

⇒ Therefore,