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Use an augmented matrix to solve each system of equations.

$\begin{array}{l}\mathbf{2}\mathbf{x}\mathbf{−}\mathbf{4}\mathbf{y}\mathbf{=}\mathbf{10}\\ \mathbf{x}\mathbf{+}\mathbf{2}\mathbf{y}\mathbf{=}\mathbf{5}\end{array}$

Use elimination method to solve the system of equations below:

$\begin{array}{c}\mathbf{3}\mathbf{x}\mathbf{+}\mathbf{2}\mathbf{y}\mathbf{=}\mathbf{−}\mathbf{2}\\ \mathbf{2}\mathbf{x}\mathbf{−}\mathbf{2}\mathbf{y}\mathbf{=}\mathbf{−}\mathbf{18}\end{array}$

Corey has 42 feet of fencing around his garden. The garden is rectangular in shape, and its length is equal to twice the width minus 3 feet. Define the variables, and write a system of equations to find the length and width of the garden. Solve the system by using substitution.

Angie and her sister have \(15 to spend on pizza. A medium pizza costs \)11.50 plus $0.75 per topping. What is the maximum number of toppings Angie and her sister can get on her pizza?