Part 1: Explain, in complete sentences, how you would use the graphing method to solve the following system of equations. (3 points) Part 2: Provide the solution to the system. (2 points) Part 3: Explain what the solution represents on the graph. (1 point) x + 4y = –16 3x + 2y = 12
1. To solve this question by using the graphic method, I would plot those two equations on a grid paper. By finding x-intercepts and y-intercepts for both equations, I will be able to plot those two equations on a grid paper. The two equations will either meet in one point, be parallel, or equal. If two equations meet in one point, that point is the solution. If two equations are parallel, it means there are no solutions. If two equations are same, it means there's infinite number of solutions.
2. x=8, y=-6 (I did this by elimination, but i would think you would have to draw a graph and show this) 3. This solution on the graph, represents the intersection of these two equations when shown on a grid paper.
Thank you!!!
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