Iv. Activity $1:$ Let's Practice! $Directons$ Write the word SYS if the set of equations illustrates systems of linear equations in two variables and TEM if not. Write your answer on the space provided. $1$ $ \begin{cases} 3x-2y=7 \\ 5x+y=1 \end{cases} $ $2$ $ \begin{cases} 2x-y>-2 \\ x-2y=1 \end{cases} $ $-3$ $ \begin{cases} 4x+7y=3 \\ 2x-8y=-1 \end{cases} $ $4$ $ \begin{cases} x^{2}-3y=2 \\ x-9y=3 \end{cases} $ $-5$ $ \begin{cases} x-7=0 \\ y=5 \end{cases} $

Activity 1: Pick Me! Determine which of the following ordered pairs would satisfy the given system of linear equations in two variables. Write your answers on a separate sheet of paper. 1. $ \begin{cases} x+2y=5 \\ 3x+y=5 \end{cases} $ (1, 2) (0,2) $\left(-1,3\right)$ (3,1) 2. $ \begin{cases} y=x+2 \\ 2x-3y=-7 \end{cases} $ (0,2) (1,3) (2,5) $\left(-2,0\right)$ 3. $ \begin{cases} 3x-2y=8 \\ x+y=6 \end{cases} $ $\left(0,-4\right)$ (1,3) $\left(2,-1\right)$ (4,2) 4. $ \begin{cases} 4x-y=-1 \\ x+7y=7 \end{cases} $ $\left(1,-3\right)$ (0,1) $\left(-1,6\right)$ $\left(2,-7\right)$ 5. $ \begin{cases} 2x-3y=14 \\ 5x+2y=-3 \end{cases} $ $\left(-3,-5\right)$ $\left(-2,1\right)$ (4,3) $\left(1,-4\right)$ $Quesions$ 1. How did you determine if an ordered pair is a solution to the given system of linear RETY equations in two variables? 2. If you are to transform each equation in the system into the $s|oDe-interceD$ form, what conclusion can you draw about their slopes? $y-intercepts7$ 3. What kind of system of linear equations are given above?

ACTIVITY 3. $Di1cction$ Show that the given point satisfies to the system of linear equation. Write your answer $r$ on the space provided. $1$ $\left(4,-21$ $x+y=2$ $\left($ $3x-2y=16$ $y=x-2$ $2$ $\left(-1s$ $O\right)$ $\left($ $y=2x+2$