SOLUTION: 5. Solve each of the following systems by graphing. 2x – y = 8 x = 2

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Question 125745: 5. Solve each of the following systems by graphing.
2x – y = 8
x = 2

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given system of equations:










Let's solve for y on the first equation

Start with the given equation


Subtract from both sides


Rearrange the equation


Divide both sides by


Break up the fraction


Reduce


Now lets graph (note: if you need help with graphing, check out this solver)


Graph of


Now graph

In order to graph , simply draw a vertical line through the tick mark "" on the x-axis
Graph of


Add the graph of to the graph of


Graph of (red line) and (black line)

From the graph, we can see that the two lines intersect at the point (2,-4)

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