## Elementary Algebra

In order to find to sets of linear equations that have $(5,7)$ as their solution set, find two equations that are distinct yet individually have $(5,7)$ as their solution set. Some equations that this is true for are: $x + y = 12$ $7x - 5y = 0$ $7x + 8y = 91$ $2x - y = 3$ In order to find a system of equations with $(5,7)$ as its solution, pick any two equations, and call them a system of equations.