1) Drag the pink dots to cover the purple dots.
Sketch what the graph of each row would look like.
Graph the linear system by hand or on a graphing utility. Then use the graph to tell whether the linear systems has one solution, no solution or infinitely many solutions.
2) \( \begin{cases} -6x+2y=-2\\-3x+y=2\\ \end{cases}\)
3) \( \begin{cases} 2y-x=-4\\2x+y=3\\ \end{cases}\)
4) \( \begin{cases} 2x-y=4\\-2x+y=-4\\ \end{cases} \)
5) \( \begin{cases} 3x+2y=10\\3x+2y=2\\ \end{cases} \)
6) \( \begin{cases} x-2y=-4\\y=\dfrac{1}{2}x+2\\ \end{cases} \)
7) \( \begin{cases} y+10=-(x-4)\\x+y=-4\\ \end{cases} \)
2) \( \begin{cases} -6x+2y=-2\\-3x+y=2\\ \end{cases}\)
3) \( \begin{cases} 2y-x=-4\\2x+y=3\\ \end{cases}\)
4) \( \begin{cases} 2x-y=4\\-2x+y=-4\\ \end{cases} \)
5) \( \begin{cases} 3x+2y=10\\3x+2y=2\\ \end{cases} \)
6) \( \begin{cases} x-2y=-4\\y=\dfrac{1}{2}x+2\\ \end{cases} \)
7) \( \begin{cases} y+10=-(x-4)\\x+y=-4\\ \end{cases} \)
Solve the system using substitution or linear combination.
8) \( \begin{cases} 3x-2y=24\\x+2y=8\\ \end{cases} \)
9) \( \begin{cases} 3x+2y=4\\-6x-4y=-8\\ \end{cases} \)
10) \( \begin{cases} 2x+y=6\\2x+y=-7\\ \end{cases} \)
11) \( \begin{cases} 2x+y=-2\\-10x-2y=4\\ \end{cases} \)
12) \( \begin{cases} 6x+2y=3\\6x=-5-2y\\ \end{cases} \)
13) \( \begin{cases} y+6=5x\\y+1=1(x+3)\\ \end{cases} \)
8) \( \begin{cases} 3x-2y=24\\x+2y=8\\ \end{cases} \)
9) \( \begin{cases} 3x+2y=4\\-6x-4y=-8\\ \end{cases} \)
10) \( \begin{cases} 2x+y=6\\2x+y=-7\\ \end{cases} \)
11) \( \begin{cases} 2x+y=-2\\-10x-2y=4\\ \end{cases} \)
12) \( \begin{cases} 6x+2y=3\\6x=-5-2y\\ \end{cases} \)
13) \( \begin{cases} y+6=5x\\y+1=1(x+3)\\ \end{cases} \)
14) Write a possible system of linear equations for this graph.
15) Create a system of linear equations with no solution.
16) Create a system of linear equations with \((-2, 5)\) as the solution.
16) Create a system of linear equations with \((-2, 5)\) as the solution.
Review
Write an equation of a line through the pairs of points.
17) \((-11, 2), (-11, 9)\)
18) \((5, -2), ( 7, 6)\)
19) \((0, 13), (-6, 13)\)
20) \((-9, 2), (-14, -17)\)
Solution Bank
Write an equation of a line through the pairs of points.
17) \((-11, 2), (-11, 9)\)
18) \((5, -2), ( 7, 6)\)
19) \((0, 13), (-6, 13)\)
20) \((-9, 2), (-14, -17)\)
Solution Bank