Jed is graphing the design for a kite on a coordinate grid. The four vertices of the kite are at \(A\left(-\large\frac{4}{3},\frac{2}{3}\right)\), \(B\left(\large\frac{14}{3},-\frac{4}{3}\right)\), \(C\left(\large\frac{14}{3},-\frac{16}{3}\right)\), and \(D\left(\large\frac{2}{3},-\frac{16}{3}\right)\). One kite strut will connect points \(A\) and \(C\). The other will connect points \(B\) and \(D\). Find the point where the struts cross.

Analyze Relationships Consider the system 

\(\begin{cases}
6x - 3y = 15\\
x + 3 y = -8
\end{cases}\)

Describe three different substitution methods that can be used to solve this system. Then solve the system.

Communicate Mathematical Ideas Explain the advantages, if any, that solving a system of linear equations by substitution has over solving the same system by graphing.

Persevere in Problem Solving Create a system of equations of the form

\(\begin{cases}
Ax + By = C\\
Dx + E y = F
\end{cases}\)

that has (7, −2) as its solution. Explain how you found the system.