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) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given system of equations:

2x-y=8
x=2







Let's solve for y on the first equation

2x-y=8 Start with the given equation


-y=8-2x Subtract 2+x from both sides


-y=-2x%2B8 Rearrange the equation


y=%28-2x%2B8%29%2F%28-1%29 Divide both sides by -1


y=%28-2%2F-1%29x%2B%288%29%2F%28-1%29 Break up the fraction


y=2x-8 Reduce


Now lets graph y=2x-8 (note: if you need help with graphing, check out this solver)


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x-8%29+ Graph of y=2x-8


Now graph x=2

In order to graph x=2, simply draw a vertical line through the tick mark "2" on the x-axis
Graph of x=2


Add the graph of x=2 to the graph of y=2x-8


Graph of y=2x-8 (red line) and x=2 (black line)

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