SOLUTION: Solve by graphing, thank you! x – 2y = 8 3x – 2y = 12
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-> SOLUTION: Solve by graphing, thank you! x – 2y = 8 3x – 2y = 12
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Question 110246
:
Solve by graphing, thank you!
x – 2y = 8
3x – 2y = 12
Answer by
jim_thompson5910(35256)
(
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):
You can
put this solution on YOUR website!
Solved by
pluggable
solver:
Solve the System of Equations by Graphing
Start with the given system of equations:
In order to graph these equations, we need to solve for y for each equation.
So 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
So let's solve for y on the second equation
Start with the given equation
Subtract
from both sides
Rearrange the equation
Divide both sides by
Break up the fraction
Reduce
Now lets add the graph of
to our first plot to get:
Graph of
(red) and
(green)
From the graph, we can see that the two lines intersect at the point (
,
) (note: you might have to adjust the window to see the intersection)