Activity $2$ $Dimecions:$ Determine whether the ordered pair is a solution to the given system of linear equations. Write TRUE if it is a solution and FALSE if it is not. $1. \begin{cases} x-y=2 \\ x+y=8 \end{cases} $ $\left(5,3\right)$ $2. \begin{cases} 3x-y=1 \\ 2x+3y=8 \end{cases} $ $\left(1,2\right)$ $3. \begin{cases} 4x+y=3 \\ x-y=3 \end{cases} $ $2$ $\left(-1,7\right)$ $4. \begin{cases} 3x-4y=-7 \\ 2x-5y=0 \end{cases} $ $\left(-5,-2\right)$

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 $3$ Determine whether the given ordered pair is a solution to the given equation. Show your solution in a separate sheet of paper $1.y=x+1$ $\left(3,4\right)$ $4.4$ $4x-3y=7$ $\left(4,3\right)$ $2.$ $2x+3y=6$ $\left(0,2\right)$ $5.y=-2x+1$ $\left(2,-2\right)$ $3.x+2y=5$ $\left(5$ $1\right)$