A System’s Solution

Without graphing determine whether the lines intersect.

1. \(y = \frac{2}{3} x -1\) and  \(y = \frac{3}{4} x  – 4\)
2. \(2x-4y=16\) and \(y=0.5x + 4\)
3. \(2x – y = 3\) and \(x + 2y = 4\)
4. \(2x + 4y = 2\) and \(y = -\frac{1}{2} x + 1\)

Go to DESMOS and graph the pairs https://www.desmos.com/calculator

5. Find the solution to each of the systems in 1 – 4.
6. How were the systems different/same?
7. Determine a rule for determining the number of solution to a system.

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Check solutions here.

Go to Watch (Solve a System Graphically)