Puzzle Three $\newline$ Solve the following systems of equations. To unlock puzzle three find the product of each solution (ordered pair $-x$ and $y$ value) and then find the mean of all five products. $\newline$ $1$ ) $-\left\{\begin{array}{l}3 x+y=4 \\ 2 x-y=6\end{array}\right.$ $\newline$ $2$ ) $-\left\{\begin{array}{c}2 x+y=-3 \\ 3 x+2 y=-8\end{array}\right.$ $\newline$ $3$ ) $\longrightarrow\left\{\begin{array}{c}7 x-4 y=-7 \\ 5 x+y=22\end{array}\right.$ $\newline$ $4$ ) $\longrightarrow\left\{\begin{aligned}-x+9 y & =-5 \\ x-5 y & =1\end{aligned}\right.$ $\newline$ $5$ ) $\longrightarrow\left\{\begin{array}{c}x-y=-4 \\ -2 x+3 y=6\end{array}\right.$ $\newline$ Code:

Full solution

Q. Puzzle Three

\newline

Solve the following systems of equations. To unlock puzzle three find the product of each solution (ordered pair

-x

and

y

value) and then find the mean of all five products.

\newline

1

)

-\left\{\begin{array}{l}3 x+y=4 \\ 2 x-y=6\end{array}\right.

\newline

2

)

-\left\{\begin{array}{c}2 x+y=-3 \\ 3 x+2 y=-8\end{array}\right.

\newline

3

)

\longrightarrow\left\{\begin{array}{c}7 x-4 y=-7 \\ 5 x+y=22\end{array}\right.

\newline

4

)

\longrightarrow\left\{\begin{aligned}-x+9 y & =-5 \\ x-5 y & =1\end{aligned}\right.

\newline

5

)

\longrightarrow\left\{\begin{array}{c}x-y=-4 \\ -2 x+3 y=6\end{array}\right.

\newline

Code:

Solve System $1$ : Solve the first system of equations: $3x + y = 4$ and $2x - y = 6$ .
Solve System $2$ : Solve the second system of equations: $2x + y = -3$ and $3x + 2y = -8$ .
Solve System $3$ : Solve the third system of equations: $7x - 4y = -7$ and $5x + y = 22$ .
Solve System $4$ : Solve the fourth system of equations: $-x + 9y = -5$ and $x - 5y = 1$ .
Solve System $5$ : Solve the fifth system of equations: $x - y = -4$ and $-2x + 3y = 6$ .
Calculate Mean: Calculate the product of each solution and find the mean.